{"id":35153,"date":"2023-10-22T16:13:00","date_gmt":"2023-10-22T16:13:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=35153"},"modified":"2023-10-26T05:12:33","modified_gmt":"2023-10-26T05:12:33","slug":"solving-multi-step-equations-definition-facts-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations","title":{"rendered":"Solving Multi Step Equations &#8211; Definition, Facts, Examples, FAQs"},"content":{"rendered":"<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-2edce486-24d8-4b39-9579-b95fc1e7cb2f\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations#0-what-are-multi-step-equations>What Are Multi-step Equations?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations#2-inverse-operations-used-for-solving-multi-step-equations>Inverse Operations Used for Solving Multi-step Equations<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations#3-how-to-solve-multi-step-equations>How to Solve Multi-step Equations<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations#8-solved-examples-on-multi-step-equations>Solved Examples on Multi-step Equations<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations#9-practice-problems-on-multi-step-equations>Practice Problems on Multi-step Equations<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations#10-frequently-asked-questions-about-multi-step-equations>Frequently Asked Questions about Multi-step Equations<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-multi-step-equations\">What Are Multi-step Equations?<\/h2>\n\n\n\n<p><strong>The multi-step equations are algebraic <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation\"><strong>equations<\/strong><\/a><strong> that require multiple steps (more than two steps) to solve.<\/strong>&nbsp;<\/p>\n\n\n\n<p>Solving multi-step equations in algebra is similar to solving one-step and two-step equations, but the process is a little lengthy as there are multiple steps involved.<\/p>\n\n\n\n<p><strong>Examples of Multi-step Equations:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$3 (4x \\;-\\; 5) = 4x \\;-\\; 7$<\/li>\n\n\n\n<li>$-\\;1\\left[(\\frac{1}{7})m + \\frac{1}{6}\\right] = 4$<\/li>\n\n\n\n<li>$10 \\;-\\; (2t + 3) = (3t \\;-\\; 5) + 20$<\/li>\n<\/ul>\n\n\n\n<p>We are familiar with solving one-step and two-step equations.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/one-step-equations\">One-step equations<\/a> are equations that can be solved in a single step.&nbsp;<\/li>\n\n\n\n<li>Two-step equations require only two steps to solve.<\/li>\n<\/ul>\n\n\n\n<p>Multi-step equations involve more complex operations. For solving the multi-step equations, we just extend the same process.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-equal-groups-together-to-multiply\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_wildas_wonders_1_2_gm.png\" alt=\"Add Equal Groups Together to Multiply Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Equal Groups Together to Multiply Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-10-to-a-2-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/place_value_oolzoos_and_bat_18_gm.png\" alt=\"Add Multiples of 10 to a 2-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 10 to a 2-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-10-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_column_add_1_pt.png\" alt=\"Add Multiples of 10 using Place Value Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 10 using Place Value Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-10-using-visuals\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_base_10_blocks_1_pt.png\" alt=\"Add Multiples of 10 using Visuals Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 10 using Visuals Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-100\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_vertical_pt.png\" alt=\"Add Multiples of 100 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 100 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-100-in-unit-form\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_pt.png\" alt=\"Add Multiples of 100 in Unit Form Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 100 in Unit Form Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-100-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_model_pt.png\" alt=\"Add Multiples of 100 Using Base-10 Blocks Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 100 Using Base-10 Blocks Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-100-using-place-value-chart\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_pvc_pt.png\" alt=\"Add Multiples of 100 Using Place Value Chart Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 100 Using Place Value Chart Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/adding-multiples-of-100\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_horizontal_pt.png\" alt=\"Adding Multiples of 100 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Adding Multiples of 100 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-multiple\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_identify_mult_pt.png\" alt=\"Choose the Correct Multiple Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Multiple Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-multi-step-equations-definition\">Multi-step Equations: Definition<\/h2>\n\n\n\n<p>Multi-step equations are the equations in which we have to use multiple steps (to undo more than two operations) to isolate the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variable<\/a> and solve.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"470\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/multi-step-equation-visual-example.png\" alt=\"Multi-step equation - visual example\" class=\"wp-image-35163\" title=\"Multi-step equation - visual example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/multi-step-equation-visual-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/multi-step-equation-visual-example-300x227.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-multiples-of-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-multiples-of-10.jpeg\" alt=\"Add & Subtract Multiples of 10 Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-horizontal-addition.jpeg\" alt=\"Add 2-Digit Numbers and Multiples of 10: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-horizontal-timed-practice\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-horizontal-timed-practice.jpeg\" alt=\"Add 2-Digit Numbers and Multiples of 10: Horizontal Timed Practice\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-missing-digits.jpeg\" alt=\"Add 2-Digit Numbers and Multiples of 10: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-missing-numbers.jpeg\" alt=\"Add 2-Digit Numbers and Multiples of 10: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-vertical-addition.jpeg\" alt=\"Add 2-Digit Numbers and Multiples of 10: Vertical Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-vertical-timed-practice\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-2-digit-numbers-and-multiples-of-10-vertical-timed-practice.jpeg\" alt=\"Add 2-Digit Numbers and Multiples of 10: Vertical Timed Practice\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-2-digit-numbers-and-multiples-of-10-horizontal-addition-and-subtraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-and-subtract-2-digit-numbers-and-multiples-of-10-horizontal-addition-and-subtraction.jpeg\" alt=\"Add and Subtract 2-Digit Numbers and Multiples of 10: Horizontal Addition and Subtraction Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div 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slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-inverse-operations-used-for-solving-multi-step-equations\">Inverse Operations Used for Solving Multi-step Equations<\/h2>\n\n\n\n<p>To solve the multi-step equations, we need to isolate the variable. We can do that by applying the inverse operation on both sides. To balance the equation, we apply the same operation on both sides.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Operation<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Inverse Operation<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Addition (+)<\/td><td class=\"has-text-align-left\" data-align=\"left\">Subtraction (-)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Subtraction&nbsp; (-)<\/td><td class=\"has-text-align-left\" data-align=\"left\">Addition (+)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Multiplication $(\\times)$<\/td><td class=\"has-text-align-left\" data-align=\"left\">Division $(\\div)$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Division $(\\div)$<\/td><td class=\"has-text-align-left\" data-align=\"left\">Multiplication $(\\times)$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Also, powers and roots are the opposite operations which undo each other.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-solve-multi-step-equations\">How to Solve Multi-step Equations<\/h2>\n\n\n\n<p><strong>Step 1: <\/strong>Simplify both sides of the equation by expanding the brackets, combining like terms, and using the distributive property if necessary.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Isolate the variable term by performing inverse operations on both sides of the equation.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Continue simplifying until the variable term is isolated on one side and all other terms are shifted to the other side.<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Solve for the variable by performing the necessary operations to isolate the variable.<\/p>\n\n\n\n<p><strong>Step 5: <\/strong>Verify your solution by substituting the value back into the original equation.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>$2x + 5 \\;-\\; 3(2 \\;-\\; x) = 4x \\;-\\; 7$<\/p>\n\n\n\n<p>$2x + 5 \\;-\\; 3(2 \\;-\\; x) = 4x \\;-\\; 7$<\/p>\n\n\n\n<p>$2x + 5 \\;-\\; 6 + 3x = 4x \\;-\\; 7$<strong>  \u2026<\/strong>expanding the bracket<\/p>\n\n\n\n<p>$2x + 3x \\;-\\;4x + 5 \\;-\\; 6 = \\;-\\; 7$<strong>  <\/strong>\u2026combining like terms<\/p>\n\n\n\n<p>$x + 5 \\;-\\; 6 = \\;-\\; 7$<\/p>\n\n\n\n<p>$x = 6 \\;-\\; 5 \\;-\\; 7$<strong>   <\/strong>\u2026isolating the variable<\/p>\n\n\n\n<p>$x = \\;-\\; 6$<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> $\u2013\\; 2(y + 3) = 3(y \\;\u2013\\; 7) + 5$<\/p>\n\n\n\n<p>$\u2013\\; 2(y + 3) = 3(y \\;\u2013\\; 7) + 5$<\/p>\n\n\n\n<p>$\\;\u2013\\; 2y \\;\u2013\\; 6 = 3y \\;\u2013\\; 21 + 5$ \u2026applying the distributive property\u00a0<\/p>\n\n\n\n<p>$\u2013\\; 2y \\;\u2013\\; 6 = 3y \\;\u2013\\; 21 + 5$<\/p>\n\n\n\n<p>$\u2013\\; 2y \\;\u2013\\; 6 = 3y \\;\u2013\\; 16$<\/p>\n\n\n\n<p>$\u2013\\; 2y \\;\u2013\\; 3y \\;\u2013\\; 6 = 3y \\;\u2013\\; 3y \\;\u2013\\; 16$ \u2026combining like terms<\/p>\n\n\n\n<p>$\u2013\\; 5y \\;\u2013\\; 6 = \\;\u2013\\; 16$<\/p>\n\n\n\n<p>$\u2013\\; 5y = \\;\u2013 \\;10$ \u2026adding 6 on both sides<\/p>\n\n\n\n<p>$y = \\frac{-\\;10}{-\\; 5}$ \u2026dividing both sides by -5<\/p>\n\n\n\n<p>$y = 2$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-solving-multi-step-equations-involving-fractions\">Solving Multi-step Equations Involving Fractions<\/h2>\n\n\n\n<p>If a multi-step equation involves one or more fractions in them, we need to apply the rules for adding or subtracting fractions with same or different denominators when solving the equation.&nbsp;<\/p>\n\n\n\n<p>To get rid of fractions, use the following steps:<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Find the Least Common Denominator (LCD) of all the denominators to make the denominators same.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply each and every term on both sides of the equation by LCD.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Apply inverse operations and isolate the variable.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<p>$\\frac{m}{5} + \\frac{1}{6} = \\frac{1}{3} + \\frac{1}{2}m$<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>The denominators are 2, 3, 5, and 6.<\/p>\n\n\n\n<p>LCM of 2, 3, 5, and 6 is 30.<\/p>\n\n\n\n<p>LCD of $\\frac{1}{5},\\;\\frac{1}{6},\\;\\frac{1}{3}$, and $\\frac{1}{2}$ is 30.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply each term on both sides by 30.<\/p>\n\n\n\n<p>$30(\\frac{m}{5} + \\frac{1}{6}) = 30(\\frac{1}{3} + \\frac{1}{2}m)$<\/p>\n\n\n\n<p>$6m + 5 = 10 + 15m$<\/p>\n\n\n\n<p>Now, the above equation is simplified and free from fractions.&nbsp;<\/p>\n\n\n\n<p>Subtracting 6m and 10 from both the sides, we get<\/p>\n\n\n\n<p>$6m + 5\\;-\\;6m\\;-\\;10 = 10\\;-\\;10 + 15m\\;-\\;6m$<\/p>\n\n\n\n<p>$-\\;5 = 9m$<\/p>\n\n\n\n<p>Dividing both the sides by 9, we get<\/p>\n\n\n\n<p>$m = \\frac{-\\;5}{9}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-multi-step-equations-word-problems\">Multi-step Equations: Word Problems<\/h2>\n\n\n\n<p>Sometimes we have to form the equation using the information provided in the word problem.<\/p>\n\n\n\n<p><strong>Example:<\/strong> Find the angle measures of a triangle if the first angle is thirty degrees more than<\/p>\n\n\n\n<p>the second, and the third is ten degrees less than twice the first.<\/p>\n\n\n\n<p>Let the three vertices of a triangle be A, B, and C. We know that the sum of three angles of a triangle is 180<sup>o<\/sup>.<\/p>\n\n\n\n<p>Thus, m\u2220A + m\u2220B + m\u2220C = 180<sup>o<\/sup> \u2026(1)<\/p>\n\n\n\n<p>Suppose that the first angle be \u2220A. The first angle is thirty degrees more than the second.<\/p>\n\n\n\n<p>m\u2220A = m\u2220B + 30<sup>o<\/sup><\/p>\n\n\n\n<p>Let m\u2220B = x<\/p>\n\n\n\n<p>Thus, m\u2220A = x + 30<sup>o<\/sup> \u2026(2)<\/p>\n\n\n\n<p>The third angle is ten degrees less than twice the first.<\/p>\n\n\n\n<p>m\u2220C = 2 m\u2220A &#8211; 10<sup>o<\/sup><\/p>\n\n\n\n<p>But m\u2220A = x + 30<sup>o<\/sup><\/p>\n\n\n\n<p>Thus, m\u2220C = 2 (x + 30<sup>o<\/sup>) &#8211; 10<sup>o<\/sup><\/p>\n\n\n\n<p>m\u2220C = 2x + 50<sup>o<\/sup> \u2026(3)<\/p>\n\n\n\n<p>Substitute the values from (2) and (3) in (1).<\/p>\n\n\n\n<p>m\u2220A + m\u2220B + m\u2220C = 180<sup>o<\/sup><\/p>\n\n\n\n<p>x + 30 + x + 2x + 50 = 180<sup>o<\/sup><\/p>\n\n\n\n<p>x + x + 2x + 80= 180<sup>o<\/sup><\/p>\n\n\n\n<p>4x = 100<sup>o<\/sup><\/p>\n\n\n\n<p>x= 25<sup>o<\/sup><\/p>\n\n\n\n<p>Thus, m\u2220B = x = 25<sup>o<\/sup><\/p>\n\n\n\n<p>\u00a0m\u2220A = x + 30<sup>o<\/sup> = 55<sup>o<\/sup><\/p>\n\n\n\n<p>\u00a0m\u2220C = 2x + 50<sup>o<\/sup> = 100<sup>o<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-multi-step-equations\">Facts about Multi-step Equations<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Multi-step equations require a sequence of steps to solve, such as combining like terms, distributing, and applying inverse operations.<\/li>\n\n\n\n<li>Isolating a variable simply means bringing the variable on one side and all the other<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about multi-step equations, how to solve them, and a few examples to understand the steps involved. Let\u2019s solve a few multi-step equations and practice problems based on multi-step equations for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-multi-step-equations\">Solved Examples on Multi-step Equations<\/h2>\n\n\n\n<p><strong>1. Find the solution of <\/strong>$\\frac{1}{2}(2x \\;-\\; 4) = 11$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$\\frac{1}{2}(2x\\;-\\;4) = 11$<\/p>\n\n\n\n<p>Multiply both sides by 2, we get<\/p>\n\n\n\n<p>$(2x\\;-\\;4) = 11 \\times 2$<\/p>\n\n\n\n<p>$2x\\;-\\;4 = 22$<\/p>\n\n\n\n<p>Adding 4 on both sides, we get<\/p>\n\n\n\n<p>$2x\\;-\\;4 + 4 = 22 + 4$<\/p>\n\n\n\n<p>$2x = 26$<\/p>\n\n\n\n<p>Dividing both the sides by 2, we get<\/p>\n\n\n\n<p>$x = \\frac{26}{2}$<\/p>\n\n\n\n<p>$x = 13$<\/p>\n\n\n\n<p><strong>2. Solve: <\/strong>$\\frac{1}{4}x\\;-\\;\\frac{3}{4} = 2x + 3$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$\\frac{1}{4}x\\;-\\;\\frac{3}{4} = 2x + 3$<\/p>\n\n\n\n<p>Multiplying both the sides by 4, we get<\/p>\n\n\n\n<p>$x\\;-\\;3 = 8x + 12$<\/p>\n\n\n\n<p>Subtracting 8x and adding 3 from both the sides, we get<\/p>\n\n\n\n<p>$x\\;-\\;3\\;-\\;8x + 3 = 8x + 12\\;-\\;8x + 3$<\/p>\n\n\n\n<p>$-\\;7x = 15$<\/p>\n\n\n\n<p>$x =\\frac{-\\;15}{7}$<\/p>\n\n\n\n<p><strong>3. Solve the equation for &#8220;m&#8221;: <\/strong>$4(5s + 3) = 12$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$4(5s + 3) = 12$<\/p>\n\n\n\n<p>Distributing 4 on LHS, we get<\/p>\n\n\n\n<p>$20s + 12 = 12$<\/p>\n\n\n\n<p>Subtracting 12 from both sides, we get<\/p>\n\n\n\n<p>$20s + 12 \\;-\\; 12 = 12 \\;-\\; 12$<\/p>\n\n\n\n<p>$20s = 0$<\/p>\n\n\n\n<p>Dividing both sides by 20, we get<\/p>\n\n\n\n<p>$s = 0$<\/p>\n\n\n\n<p><strong>4. Solve <\/strong>$\\frac{x}{4} \\;-\\; 5 = 3x$ for x<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The given equation is:<\/p>\n\n\n\n<p>$\\frac{x}{4}\\;-\\;5 = 3x$<\/p>\n\n\n\n<p>Multiply each term on both sides by 4.<\/p>\n\n\n\n<p>$x\\;-\\;20 = 12x$<\/p>\n\n\n\n<p>Subtracting x from both sides, we get<\/p>\n\n\n\n<p>$x\\;-\\;20\\;-\\;x = 12x\\;-\\;x$<\/p>\n\n\n\n<p>$-\\;20 = 11x$<\/p>\n\n\n\n<p>Dividing both sides by 11, we get<\/p>\n\n\n\n<p>$x = \\frac{-\\;20}{11}$<\/p>\n\n\n\n<p><strong>5. Mia<\/strong><strong> is 5 years older than Molly. After 5 years, the sum of their ages is 25. Then how old is Mia now?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Suppose that Molly\u2019s current age is x years.&nbsp;<\/p>\n\n\n\n<p>Mia\u2019s age = x + 5.<\/p>\n\n\n\n<p>Molly\u2019s age after 5 years = x + 5<\/p>\n\n\n\n<p>Mia\u2019s age after 5 years = x + 10<\/p>\n\n\n\n<p>Sum of their ages after 5 years = 25<\/p>\n\n\n\n<p>(x + 5) + (x + 10) = 25<\/p>\n\n\n\n<p>2x + 15 = 25 Combining like terms<\/p>\n\n\n\n<p>2x = 10 Subtracting 25 from both sides<\/p>\n\n\n\n<p>x = 5 Dividing both sides by 2<\/p>\n\n\n\n<p>Molly\u2019s age = 5 years<\/p>\n\n\n\n<p>Mia\u2019s age = 5 + 5 = 10 years<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-multi-step-equations\">Practice Problems on Multi-step Equations<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Solving Multi Step Equations - Definition, Facts, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the value of y in $2(y\\;-\\;10) = 3(y + 5)$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-\\;1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-\\;2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">2<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $-\\;1$<br\/>$2(y\\;-\\;10) = 3(y + 5)$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$2y\\;-\\;20 = 3y + 15$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$2y\\;-\\;3y\\;-\\;20 + 20 = 3y\\;-\\;3y + 15 + 20$<br>\r\n$-\\;y = 35$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$y = -\\;35$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">$\\frac{t + 5}{t \\;-\\; 1} = \\frac{3}{2}$. Find t.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">$-\\;13$<\/div><div class=\"spq_answer_block\" data-value=\"2\">13<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-\\;23$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 13<br\/>Multiplying both sides by $2(t \\;\u2013\\; 1)$.<br>\r\n$2(t + 5) = 3(t \\;-\\; 1)$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$2t + 10 = 3t \\;-\\; 3$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$2t + 10 \\;-\\; 3t \\;-\\;10 = 3t\\;-\\;3\\;-\\;3t\\;-\\;10$<br>\r\n$\\;-\\;t = -\\;13$<br>\r\n$t = 13$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the value of s.<br>$-\\;5s + 4(3s \\;-\\; 6) = 2(\\;-\\;6s\\;-\\;1)$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{-\\;12}{19}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{-\\;22}{19}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{12}{19}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{22}{19}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{22}{19}$<br\/>$-\\;5s + 4(3s\\;-\\;6) = 2(-\\;6s\\;-\\;1)$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$-\\;5s + 12s\\;-\\;24 = -\\;12s\\;-\\;2$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$-\\;5s + 12s\\;-\\;24 + 12s + 24 = -\\;12s\\;-\\;2 + 12s + 24$<br>\r\n$19s = 22$<br>\r\nDividing both the sides by 19<br>\r\n$s = \\frac{22}{19}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The digit in tens place is twice the digit in ones place. If the digit at tens place is c, what will be the number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$20c + c$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$10c + \\frac{c}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$10c \\;-\\; \\frac{c}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$10 + \\frac{c}{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $10c + \\frac{c}{2}$<br\/>The digit in tens place = c<br>\r\nDigit at tens place $= 2 \\times$ Digit at ones place<br>\r\n$c = 2 \\times$ Digit at ones place<br>\r\nDigit at ones place $= \\frac{c}{2}$<br>\r\nNumber = Digit at tens place  $\\times 10 + $Digit at ones place<br>\r\nNumber $= 10c + \\frac{c}{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The sum of three consecutive multiples of 9 is 3024. Which of the following is the smallest multiple among them?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">111<\/div><div class=\"spq_answer_block\" data-value=\"1\">999<\/div><div class=\"spq_answer_block\" data-value=\"2\">1008<\/div><div class=\"spq_answer_block\" data-value=\"3\">1017<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 999<br\/>Let the three consecutive multiples of 9 be $9x,\\; 9x + 9$ and $9x + 18$.<br>\r\n$9x + 9x + 9 + 9x + 18 = 3024$<br>\r\n$27x + 27 = 3024$<br>\r\nSubtracting 27 from both the sides<br>\r\n$27x + 27\\;-\\;27 = 3024\\;-\\;27$<br>\r\n$27x = 2997$<br>\r\nDividing both the sides by 27<br>\r\n$x = \\frac{2997}{27} = 111$<br>\r\nThe smallest multiple among them is $9 \\times 111 = 999$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Solving Multi Step Equations - Definition, Facts, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Solving Multi Step Equations\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of y in $$2(y\\\\;-\\\\;10) = 3(y + 5)$$?\",\n                    \"text\": \"What is the value of y in $$2(y\\\\;-\\\\;10) = 3(y + 5)$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$2(y\\\\;-\\\\;10) = 3(y + 5)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2y\\\\;-\\\\;20 = 3y + 15$$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$$2y\\\\;-\\\\;3y\\\\;-\\\\;20 + 20 = 3y\\\\;-\\\\;3y + 15 + 20$$<br>\r\n$$-\\\\;y = 35$$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$$y = -\\\\;35$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2(y\\\\;-\\\\;10) = 3(y + 5)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2y\\\\;-\\\\;20 = 3y + 15$$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$$2y\\\\;-\\\\;3y\\\\;-\\\\;20 + 20 = 3y\\\\;-\\\\;3y + 15 + 20$$<br>\r\n$$-\\\\;y = 35$$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$$y = -\\\\;35$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2(y\\\\;-\\\\;10) = 3(y + 5)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2y\\\\;-\\\\;20 = 3y + 15$$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$$2y\\\\;-\\\\;3y\\\\;-\\\\;20 + 20 = 3y\\\\;-\\\\;3y + 15 + 20$$<br>\r\n$$-\\\\;y = 35$$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$$y = -\\\\;35$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2(y\\\\;-\\\\;10) = 3(y + 5)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2y\\\\;-\\\\;20 = 3y + 15$$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$$2y\\\\;-\\\\;3y\\\\;-\\\\;20 + 20 = 3y\\\\;-\\\\;3y + 15 + 20$$<br>\r\n$$-\\\\;y = 35$$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$$y = -\\\\;35$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$-\\\\;1$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$2(y\\\\;-\\\\;10) = 3(y + 5)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2y\\\\;-\\\\;20 = 3y + 15$$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$$2y\\\\;-\\\\;3y\\\\;-\\\\;20 + 20 = 3y\\\\;-\\\\;3y + 15 + 20$$<br>\r\n$$-\\\\;y = 35$$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$$y = -\\\\;35$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$2(y\\\\;-\\\\;10) = 3(y + 5)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2y\\\\;-\\\\;20 = 3y + 15$$<br>\r\nSubtracting 3y and adding 20 on both sides.<br>\r\n$$2y\\\\;-\\\\;3y\\\\;-\\\\;20 + 20 = 3y\\\\;-\\\\;3y + 15 + 20$$<br>\r\n$$-\\\\;y = 35$$<br>\r\nMultiplying both the sides by \u2013 1.<br>\r\n$$y = -\\\\;35$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$\\\\frac{t + 5}{t \\\\;-\\\\; 1} = \\\\frac{3}{2}$$. Find t.\",\n                    \"text\": \"$$\\\\frac{t + 5}{t \\\\;-\\\\; 1} = \\\\frac{3}{2}$$. Find t.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Multiplying both sides by $$2(t \\\\;\u2013\\\\; 1)$$.<br>\r\n$$2(t + 5) = 3(t \\\\;-\\\\; 1)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2t + 10 = 3t \\\\;-\\\\; 3$$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$$2t + 10 \\\\;-\\\\; 3t \\\\;-\\\\;10 = 3t\\\\;-\\\\;3\\\\;-\\\\;3t\\\\;-\\\\;10$$<br>\r\n$$\\\\;-\\\\;t = -\\\\;13$$<br>\r\n$$t = 13$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Multiplying both sides by $$2(t \\\\;\u2013\\\\; 1)$$.<br>\r\n$$2(t + 5) = 3(t \\\\;-\\\\; 1)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2t + 10 = 3t \\\\;-\\\\; 3$$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$$2t + 10 \\\\;-\\\\; 3t \\\\;-\\\\;10 = 3t\\\\;-\\\\;3\\\\;-\\\\;3t\\\\;-\\\\;10$$<br>\r\n$$\\\\;-\\\\;t = -\\\\;13$$<br>\r\n$$t = 13$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;13$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Multiplying both sides by $$2(t \\\\;\u2013\\\\; 1)$$.<br>\r\n$$2(t + 5) = 3(t \\\\;-\\\\; 1)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2t + 10 = 3t \\\\;-\\\\; 3$$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$$2t + 10 \\\\;-\\\\; 3t \\\\;-\\\\;10 = 3t\\\\;-\\\\;3\\\\;-\\\\;3t\\\\;-\\\\;10$$<br>\r\n$$\\\\;-\\\\;t = -\\\\;13$$<br>\r\n$$t = 13$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;23$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Multiplying both sides by $$2(t \\\\;\u2013\\\\; 1)$$.<br>\r\n$$2(t + 5) = 3(t \\\\;-\\\\; 1)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2t + 10 = 3t \\\\;-\\\\; 3$$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$$2t + 10 \\\\;-\\\\; 3t \\\\;-\\\\;10 = 3t\\\\;-\\\\;3\\\\;-\\\\;3t\\\\;-\\\\;10$$<br>\r\n$$\\\\;-\\\\;t = -\\\\;13$$<br>\r\n$$t = 13$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"13\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Multiplying both sides by $$2(t \\\\;\u2013\\\\; 1)$$.<br>\r\n$$2(t + 5) = 3(t \\\\;-\\\\; 1)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2t + 10 = 3t \\\\;-\\\\; 3$$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$$2t + 10 \\\\;-\\\\; 3t \\\\;-\\\\;10 = 3t\\\\;-\\\\;3\\\\;-\\\\;3t\\\\;-\\\\;10$$<br>\r\n$$\\\\;-\\\\;t = -\\\\;13$$<br>\r\n$$t = 13$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Multiplying both sides by $$2(t \\\\;\u2013\\\\; 1)$$.<br>\r\n$$2(t + 5) = 3(t \\\\;-\\\\; 1)$$<br>\r\nDistributing 2 on LHS and 3 on RHS.<br>\r\n$$2t + 10 = 3t \\\\;-\\\\; 3$$<br>\r\nSubtracting 3t and 10 on both the sides<br>\r\n$$2t + 10 \\\\;-\\\\; 3t \\\\;-\\\\;10 = 3t\\\\;-\\\\;3\\\\;-\\\\;3t\\\\;-\\\\;10$$<br>\r\n$$\\\\;-\\\\;t = -\\\\;13$$<br>\r\n$$t = 13$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of s.<br>$$-\\\\;5s + 4(3s \\\\;-\\\\; 6) = 2(\\\\;-\\\\;6s\\\\;-\\\\;1)$$.\",\n                    \"text\": \"Find the value of s.<br>$$-\\\\;5s + 4(3s \\\\;-\\\\; 6) = 2(\\\\;-\\\\;6s\\\\;-\\\\;1)$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$-\\\\;5s + 4(3s\\\\;-\\\\;6) = 2(-\\\\;6s\\\\;-\\\\;1)$$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 = -\\\\;12s\\\\;-\\\\;2$$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 + 12s + 24 = -\\\\;12s\\\\;-\\\\;2 + 12s + 24$$<br>\r\n$$19s = 22$$<br>\r\nDividing both the sides by 19<br>\r\n$$s = \\\\frac{22}{19}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{-\\\\;12}{19}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-\\\\;5s + 4(3s\\\\;-\\\\;6) = 2(-\\\\;6s\\\\;-\\\\;1)$$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 = -\\\\;12s\\\\;-\\\\;2$$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 + 12s + 24 = -\\\\;12s\\\\;-\\\\;2 + 12s + 24$$<br>\r\n$$19s = 22$$<br>\r\nDividing both the sides by 19<br>\r\n$$s = \\\\frac{22}{19}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{-\\\\;22}{19}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-\\\\;5s + 4(3s\\\\;-\\\\;6) = 2(-\\\\;6s\\\\;-\\\\;1)$$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 = -\\\\;12s\\\\;-\\\\;2$$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 + 12s + 24 = -\\\\;12s\\\\;-\\\\;2 + 12s + 24$$<br>\r\n$$19s = 22$$<br>\r\nDividing both the sides by 19<br>\r\n$$s = \\\\frac{22}{19}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{12}{19}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$-\\\\;5s + 4(3s\\\\;-\\\\;6) = 2(-\\\\;6s\\\\;-\\\\;1)$$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 = -\\\\;12s\\\\;-\\\\;2$$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 + 12s + 24 = -\\\\;12s\\\\;-\\\\;2 + 12s + 24$$<br>\r\n$$19s = 22$$<br>\r\nDividing both the sides by 19<br>\r\n$$s = \\\\frac{22}{19}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{22}{19}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$-\\\\;5s + 4(3s\\\\;-\\\\;6) = 2(-\\\\;6s\\\\;-\\\\;1)$$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 = -\\\\;12s\\\\;-\\\\;2$$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 + 12s + 24 = -\\\\;12s\\\\;-\\\\;2 + 12s + 24$$<br>\r\n$$19s = 22$$<br>\r\nDividing both the sides by 19<br>\r\n$$s = \\\\frac{22}{19}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$-\\\\;5s + 4(3s\\\\;-\\\\;6) = 2(-\\\\;6s\\\\;-\\\\;1)$$<br>\r\nDistributing 4 on LHS and 2 on RHS.<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 = -\\\\;12s\\\\;-\\\\;2$$<br>\r\nAdding 12s and 24 on both the sides<br>\r\n$$-\\\\;5s + 12s\\\\;-\\\\;24 + 12s + 24 = -\\\\;12s\\\\;-\\\\;2 + 12s + 24$$<br>\r\n$$19s = 22$$<br>\r\nDividing both the sides by 19<br>\r\n$$s = \\\\frac{22}{19}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The digit in tens place is twice the digit in ones place. If the digit at tens place is c, what will be the number?\",\n                    \"text\": \"The digit in tens place is twice the digit in ones place. If the digit at tens place is c, what will be the number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The digit in tens place = c<br>\r\nDigit at tens place $$= 2 \\\\times$$ Digit at ones place<br>\r\n$$c = 2 \\\\times$$ Digit at ones place<br>\r\nDigit at ones place $$= \\\\frac{c}{2}$$<br>\r\nNumber = Digit at tens place  $$\\\\times 10 + $$Digit at ones place<br>\r\nNumber $$= 10c + \\\\frac{c}{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$20c + c$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The digit in tens place = c<br>\r\nDigit at tens place $$= 2 \\\\times$$ Digit at ones place<br>\r\n$$c = 2 \\\\times$$ Digit at ones place<br>\r\nDigit at ones place $$= \\\\frac{c}{2}$$<br>\r\nNumber = Digit at tens place  $$\\\\times 10 + $$Digit at ones place<br>\r\nNumber $$= 10c + \\\\frac{c}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10c \\\\;-\\\\; \\\\frac{c}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The digit in tens place = c<br>\r\nDigit at tens place $$= 2 \\\\times$$ Digit at ones place<br>\r\n$$c = 2 \\\\times$$ Digit at ones place<br>\r\nDigit at ones place $$= \\\\frac{c}{2}$$<br>\r\nNumber = Digit at tens place  $$\\\\times 10 + $$Digit at ones place<br>\r\nNumber $$= 10c + \\\\frac{c}{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10 + \\\\frac{c}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The digit in tens place = c<br>\r\nDigit at tens place $$= 2 \\\\times$$ Digit at ones place<br>\r\n$$c = 2 \\\\times$$ Digit at ones place<br>\r\nDigit at ones place $$= \\\\frac{c}{2}$$<br>\r\nNumber = Digit at tens place  $$\\\\times 10 + $$Digit at ones place<br>\r\nNumber $$= 10c + \\\\frac{c}{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$10c + \\\\frac{c}{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The digit in tens place = c<br>\r\nDigit at tens place $$= 2 \\\\times$$ Digit at ones place<br>\r\n$$c = 2 \\\\times$$ Digit at ones place<br>\r\nDigit at ones place $$= \\\\frac{c}{2}$$<br>\r\nNumber = Digit at tens place  $$\\\\times 10 + $$Digit at ones place<br>\r\nNumber $$= 10c + \\\\frac{c}{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The digit in tens place = c<br>\r\nDigit at tens place $$= 2 \\\\times$$ Digit at ones place<br>\r\n$$c = 2 \\\\times$$ Digit at ones place<br>\r\nDigit at ones place $$= \\\\frac{c}{2}$$<br>\r\nNumber = Digit at tens place  $$\\\\times 10 + $$Digit at ones place<br>\r\nNumber $$= 10c + \\\\frac{c}{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The sum of three consecutive multiples of 9 is 3024. Which of the following is the smallest multiple among them?\",\n                    \"text\": \"The sum of three consecutive multiples of 9 is 3024. Which of the following is the smallest multiple among them?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let the three consecutive multiples of 9 be $$9x,\\\\; 9x + 9$$ and $$9x + 18$$.<br>\r\n$$9x + 9x + 9 + 9x + 18 = 3024$$<br>\r\n$$27x + 27 = 3024$$<br>\r\nSubtracting 27 from both the sides<br>\r\n$$27x + 27\\\\;-\\\\;27 = 3024\\\\;-\\\\;27$$<br>\r\n$$27x = 2997$$<br>\r\nDividing both the sides by 27<br>\r\n$$x = \\\\frac{2997}{27} = 111$$<br>\r\nThe smallest multiple among them is $$9 \\\\times 111 = 999$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"111\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the three consecutive multiples of 9 be $$9x,\\\\; 9x + 9$$ and $$9x + 18$$.<br>\r\n$$9x + 9x + 9 + 9x + 18 = 3024$$<br>\r\n$$27x + 27 = 3024$$<br>\r\nSubtracting 27 from both the sides<br>\r\n$$27x + 27\\\\;-\\\\;27 = 3024\\\\;-\\\\;27$$<br>\r\n$$27x = 2997$$<br>\r\nDividing both the sides by 27<br>\r\n$$x = \\\\frac{2997}{27} = 111$$<br>\r\nThe smallest multiple among them is $$9 \\\\times 111 = 999$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1008\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the three consecutive multiples of 9 be $$9x,\\\\; 9x + 9$$ and $$9x + 18$$.<br>\r\n$$9x + 9x + 9 + 9x + 18 = 3024$$<br>\r\n$$27x + 27 = 3024$$<br>\r\nSubtracting 27 from both the sides<br>\r\n$$27x + 27\\\\;-\\\\;27 = 3024\\\\;-\\\\;27$$<br>\r\n$$27x = 2997$$<br>\r\nDividing both the sides by 27<br>\r\n$$x = \\\\frac{2997}{27} = 111$$<br>\r\nThe smallest multiple among them is $$9 \\\\times 111 = 999$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1017\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the three consecutive multiples of 9 be $$9x,\\\\; 9x + 9$$ and $$9x + 18$$.<br>\r\n$$9x + 9x + 9 + 9x + 18 = 3024$$<br>\r\n$$27x + 27 = 3024$$<br>\r\nSubtracting 27 from both the sides<br>\r\n$$27x + 27\\\\;-\\\\;27 = 3024\\\\;-\\\\;27$$<br>\r\n$$27x = 2997$$<br>\r\nDividing both the sides by 27<br>\r\n$$x = \\\\frac{2997}{27} = 111$$<br>\r\nThe smallest multiple among them is $$9 \\\\times 111 = 999$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"999\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let the three consecutive multiples of 9 be $$9x,\\\\; 9x + 9$$ and $$9x + 18$$.<br>\r\n$$9x + 9x + 9 + 9x + 18 = 3024$$<br>\r\n$$27x + 27 = 3024$$<br>\r\nSubtracting 27 from both the sides<br>\r\n$$27x + 27\\\\;-\\\\;27 = 3024\\\\;-\\\\;27$$<br>\r\n$$27x = 2997$$<br>\r\nDividing both the sides by 27<br>\r\n$$x = \\\\frac{2997}{27} = 111$$<br>\r\nThe smallest multiple among them is $$9 \\\\times 111 = 999$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let the three consecutive multiples of 9 be $$9x,\\\\; 9x + 9$$ and $$9x + 18$$.<br>\r\n$$9x + 9x + 9 + 9x + 18 = 3024$$<br>\r\n$$27x + 27 = 3024$$<br>\r\nSubtracting 27 from both the sides<br>\r\n$$27x + 27\\\\;-\\\\;27 = 3024\\\\;-\\\\;27$$<br>\r\n$$27x = 2997$$<br>\r\nDividing both the sides by 27<br>\r\n$$x = \\\\frac{2997}{27} = 111$$<br>\r\nThe smallest multiple among them is $$9 \\\\times 111 = 999$$.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-multi-step-equations\">Frequently Asked Questions about Multi-step Equations<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-a5e216dd-cf86-4027-8fc0-c334c50dab43\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-a5e216dd-cf86-4027-8fc0-c334c50dab43\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5e216dd-cf86-4027-8fc0-c334c50dab43\"><strong>What is a one-step equation?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-a5e216dd-cf86-4027-8fc0-c334c50dab43\">\n\n<p>One-step equation is an algebraic equation which we can solve in just one step. Example of a one-step equation is x + 4 = 5.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-a5e216dd-cf86-4027-8fc0-c334c50dab43\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5e216dd-cf86-4027-8fc0-c334c50dab43\"><strong>What is a two-steps equation?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-a5e216dd-cf86-4027-8fc0-c334c50dab43\">\n\n<p>Two steps equation is an algebraic equation which we can solve in two steps. Example of a two-step equation is 2y + 5 = 6.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-a5e216dd-cf86-4027-8fc0-c334c50dab43\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5e216dd-cf86-4027-8fc0-c334c50dab43\"><strong>How do I know if an equation is multi-step?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-a5e216dd-cf86-4027-8fc0-c334c50dab43\">\n\n<p>An equation is considered multi-step if it involves more than one arithmetic operation to solve. It generally involves multiple steps, such as combining like terms, distributing, or simplifying expressions before isolating the variable.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-a5e216dd-cf86-4027-8fc0-c334c50dab43\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a5e216dd-cf86-4027-8fc0-c334c50dab43\"><strong>What is the order of operations in solving multi-step equations?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-a5e216dd-cf86-4027-8fc0-c334c50dab43\">\n\n<p>The order of operations in solving multi-step equations follows the same rules as in general mathematics, which is PEMDAS.&nbsp;<\/p>\n\n\n\n<p>Parentheses, Exponents, Multiplication and Division (same level), and Addition and Subtraction (same level), in order from left to right.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Multi-step Equations? The multi-step equations are algebraic equations that require multiple steps (more than two steps) to solve.&nbsp; Solving multi-step equations in algebra is similar to solving one-step and two-step equations, but the process is a little lengthy as there are multiple steps involved. Examples of Multi-step Equations: We are familiar with solving &#8230; <a title=\"Solving Multi Step Equations &#8211; Definition, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multi-step-equations\" aria-label=\"More on Solving Multi Step Equations &#8211; Definition, Facts, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-35153","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35153","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=35153"}],"version-history":[{"count":7,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35153\/revisions"}],"predecessor-version":[{"id":35167,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35153\/revisions\/35167"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=35153"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=35153"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=35153"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}