{"id":279000,"date":"2025-08-02T13:59:51","date_gmt":"2025-08-02T13:59:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=279000"},"modified":"2025-08-02T13:59:53","modified_gmt":"2025-08-02T13:59:53","slug":"which-is-equivalent-to-12-5x","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/which-is-equivalent-to-12-5x\/","title":{"rendered":"Which is equivalent to 12-5x\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/image-211.png\" alt=\"\" class=\"wp-image-279001\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is B. -5x + 12.<\/p>\n\n\n\n<p>To understand why this is the correct choice, we need to look at the components of the original algebraic expression, which is 12 \u2013 5x. An algebraic expression is made up of terms, which are the parts separated by addition or subtraction signs. In this case, the two terms are&nbsp;12&nbsp;and&nbsp;-5x. It is very important to recognize that the subtraction sign in front of the&nbsp;5x&nbsp;makes it a negative term. So, we can think of the expression as a positive 12 being added to a negative 5x, or&nbsp;(+12) + (-5x).<\/p>\n\n\n\n<p>In mathematics, the commutative property of addition states that the order in which you add two terms does not change the result. For example, 3 + 4 is the same as 4 + 3. We can apply this same principle to our algebraic expression. We can swap the order of the two terms,&nbsp;+12&nbsp;and&nbsp;-5x, without changing the value of the expression.<\/p>\n\n\n\n<p>If we rearrange&nbsp;12 &#8211; 5x&nbsp;by putting the&nbsp;-5x&nbsp;term first, followed by the&nbsp;+12&nbsp;term, we get&nbsp;-5x + 12. This new expression is mathematically identical to the original one; it is simply written in a different order. This matches option B perfectly.<\/p>\n\n\n\n<p>Let&#8217;s quickly review the other options to see why they are incorrect.<br>Option A, -12x + 5, incorrectly swaps the numbers. The number 12 is the constant term, and 5 is the coefficient of x, not the other way around.<br>Option C, 5x \u2013 12, has the wrong signs for both terms. It has a positive 5x and a negative 12, whereas the original expression has a negative 5x and a positive 12.<br>Option D, 12x \u2013 5, also incorrectly assigns the numbers to the variable and the constant term.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner5-113.jpeg\" alt=\"\" class=\"wp-image-279002\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is B. -5x + 12. To understand why this is the correct choice, we need to look at the components of the original algebraic expression, which is 12 \u2013 5x. An algebraic expression is made up of terms, which are the parts separated by addition or [&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-279000","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279000","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=279000"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279000\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=279000"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=279000"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=279000"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}