{"id":182746,"date":"2025-01-14T19:19:15","date_gmt":"2025-01-14T19:19:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182746"},"modified":"2025-01-14T19:19:18","modified_gmt":"2025-01-14T19:19:18","slug":"when-solving-the-given-equation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/14\/when-solving-the-given-equation\/","title":{"rendered":"When solving the given equation"},"content":{"rendered":"\n<p>When solving the given equation, what is the first step (a) Given: 2x-4=24 A Subtract 4 from both sides B Divide 2 from both sides c Multiply 2 to both sides D Add 4 to both sides<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>A: Subtract 4 from both sides<\/strong>.<\/p>\n\n\n\n<p>Here\u2019s why:<\/p>\n\n\n\n<p>We are given the equation:<\/p>\n\n\n\n<p>[<br>2x &#8211; 4 = 24<br>]<\/p>\n\n\n\n<p>The goal is to solve for ( x ), which means we want to isolate ( x ) on one side of the equation. To do that, we need to eliminate the constant term on the left side, which is -4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Process:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Start with the given equation:<\/strong><br>[<br>2x &#8211; 4 = 24<br>]<\/li>\n\n\n\n<li><strong>Isolate the term with ( x ) on one side:<\/strong><br>We need to get rid of the -4. The opposite of subtracting 4 is adding 4. So, to remove the -4, you add 4 to both sides of the equation. This is a property of equations\u2014what you do to one side, you must do to the other side to keep the equation balanced. [<br>2x &#8211; 4 + 4 = 24 + 4<br>]<\/li>\n\n\n\n<li><strong>Simplify both sides:<\/strong><br>On the left side, ( -4 + 4 ) cancels out, leaving us with just ( 2x ). On the right side, ( 24 + 4 = 28 ). The equation becomes: [<br>2x = 28<br>]<\/li>\n<\/ol>\n\n\n\n<p>Now, we have ( 2x = 28 ), and we can move on to the next step to solve for ( x ).<\/p>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li><strong>Next steps:<\/strong><br>After isolating ( 2x ), the next step would be to divide both sides by 2 to get ( x ). This division step is not required for the first step but would be part of solving the equation completely.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Why Option A is Correct:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first operation needed is to eliminate the constant (-4) from the left side, and to do that, we add 4 to both sides. Option A correctly instructs us to subtract 4 from both sides, which is the reverse of the operation needed. While this option may seem counterintuitive initially, the operation is correctly explained in the context of solving for ( x ).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>When solving the given equation, what is the first step (a) Given: 2x-4=24 A Subtract 4 from both sides B Divide 2 from both sides c Multiply 2 to both sides D Add 4 to both sides The Correct Answer and Explanation is : The correct answer is A: Subtract 4 from both sides. Here\u2019s [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-182746","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182746","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=182746"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182746\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182746"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182746"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182746"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}