{"id":1253,"date":"2013-06-06T09:13:28","date_gmt":"2013-06-06T09:13:28","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=1253"},"modified":"2025-12-05T11:57:06","modified_gmt":"2025-12-05T17:57:06","slug":"solving-equation-using-multiplication-and-division","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/solving-equation-using-multiplication-and-division\/","title":{"rendered":"Solving Equations by Using Multiplication and Division"},"content":{"rendered":"<h1>Solving Equation Using Multiplication and Division<\/h1>\n<div class=\"lyte-wrapper fourthree\" title=\"Solving Equation Using Multiplication and Division\" style=\"width:420px;max-width:100%;margin:5px auto;\"><div class=\"lyMe\" id=\"WYL_QjkwRMMbbVo\"><div id=\"lyte_QjkwRMMbbVo\" data-src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/plugins\/wp-youtube-lyte\/lyteCache.php?origThumbUrl=https%3A%2F%2Fi.ytimg.com%2Fvi%2FQjkwRMMbbVo%2Fhqdefault.jpg\" class=\"pL\"><div class=\"tC\"><div class=\"tT\">Solving Equation Using Multiplication and Division<\/div><\/div><div class=\"play\"><\/div><div class=\"ctrl\"><div class=\"Lctrl\"><\/div><div class=\"Rctrl\"><\/div><\/div><\/div><noscript><a href=\"https:\/\/youtu.be\/QjkwRMMbbVo\" rel=\"nofollow\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/plugins\/wp-youtube-lyte\/lyteCache.php?origThumbUrl=https%3A%2F%2Fi.ytimg.com%2Fvi%2FQjkwRMMbbVo%2F0.jpg\" alt=\"Solving Equation Using Multiplication and Division\" width=\"420\" height=\"295\" \/><br \/>Watch this video on YouTube<\/a><\/noscript><\/div><\/div><div class=\"lL\" style=\"max-width:100%;width:420px;margin:5px auto;\"><\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p><b>To solve a single variable equation, all you have to do is isolate x on one side of the equation and move everything else to the other side.<\/b> You do that by performing the same operations on each side of the equals sign.<\/p>\n<p>In this example here, we&#8217;re going to have to use multiplication and division to isolate x. The first thing you want to do in solving this problem is to rewrite it in a simplified form, because what we have is 3x times 12, divided by 5, equals 2x times 15x, divided by 20.<\/p>\n<p><b>Let&#8217;s simplify this a little bit.<\/b> We have 3x times 12, which is 36x divided by 5. That&#8217;s equal to 2x times 15x, which is 30x, divided by 20. I&#8217;m sorry, 30x squared. <b>The first thing we want to do is get x all by itself on one side.<\/b> We&#8217;ll divide both sides of equal signed by x and that gives us 36\/5 equals 30x\/20.<\/p>\n<p>Now, the next thing to notice is that you can reduce distraction from 30\/20 to 3\/2, so we have 36\/5 equals 3\/2x. <b>Now, we want to do is get this all by itself over here.<\/b> We need to move the 3\/2 onto this side of the equation. To do that, we&#8217;re going to multiply both sides by 2\/3.<\/p>\n<p>3\/2x times 2\/3 the 2s are going to cancel and the 3s are going to cancel, leaving us with x. On this side, when we multiplied by 2\/3. We see that we can cancel the 3 here, 3\/3 is 1, 36\/3 is 12. What this leaves us with is 24\/5. x equals 24\/5 is our solution. If we want to write this as a mixed number, we can say that x equals 4 and 4\/5 or 4.8 as a decimal.<\/p>\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Solving Equation Using Multiplication and Division<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-1253","1":"page","2":"type-page","3":"status-publish","5":"page_type-video"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1253","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=1253"}],"version-history":[{"count":1,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1253\/revisions"}],"predecessor-version":[{"id":48684,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/1253\/revisions\/48684"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=1253"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}