{"id":253446,"date":"2025-07-12T05:11:54","date_gmt":"2025-07-12T05:11:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=253446"},"modified":"2025-07-12T05:11:56","modified_gmt":"2025-07-12T05:11:56","slug":"simplify-3-4x-5-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/simplify-3-4x-5-6\/","title":{"rendered":"Simplify 3 &#8211; (4x &#8211; 5) + 6."},"content":{"rendered":"\n<p>Simplify 3 &#8211; (4x &#8211; 5) + 6. A) 12x + 21 B) 4x + 14 C) 4x + 4 D) -4x + 14<\/p>\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>To simplify the expression <strong>3 &#8211; (4x &#8211; 5) + 6<\/strong>, let&#8217;s break it down step by step:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Distribute the negative sign<\/h3>\n\n\n\n<p>In the expression <strong>3 &#8211; (4x &#8211; 5) + 6<\/strong>, we have a negative sign outside the parentheses. To simplify, we distribute this negative sign to both terms inside the parentheses. 3\u2212(4x\u22125)+6=3\u22124x+5+63 &#8211; (4x &#8211; 5) + 6 = 3 &#8211; 4x + 5 + 63\u2212(4x\u22125)+6=3\u22124x+5+6<\/p>\n\n\n\n<p>Notice that the negative sign in front of the parentheses changes the signs of both terms inside: <strong>-4x<\/strong> and <strong>+5<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Combine like terms<\/h3>\n\n\n\n<p>Now we combine the constants (the numbers without variables) and the variable terms (those with <strong>x<\/strong>).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Combine the constants:<br>3+5+6=143 + 5 + 6 = 143+5+6=14<\/li>\n\n\n\n<li>There is only one term with <strong>x<\/strong>, which is <strong>-4x<\/strong>. It stays the same.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Write the simplified expression<\/h3>\n\n\n\n<p>Now that we&#8217;ve combined everything, we have the simplified expression: \u22124x+14-4x + 14\u22124x+14<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Conclusion<\/h3>\n\n\n\n<p>The simplified expression is <strong>-4x + 14<\/strong>, which corresponds to option <strong>D<\/strong>.<\/p>\n\n\n\n<p>This simplification follows basic algebraic rules. The key step is recognizing the need to distribute the negative sign to the terms inside the parentheses, and then combining the like terms \u2014 constants and variables \u2014 to form the final simplified expression<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner9-135.jpeg\" alt=\"\" class=\"wp-image-253451\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Simplify 3 &#8211; (4x &#8211; 5) + 6. A) 12x + 21 B) 4x + 14 C) 4x + 4 D) -4x + 14 The Correct Answer and Explanation is: To simplify the expression 3 &#8211; (4x &#8211; 5) + 6, let&#8217;s break it down step by step: Step 1: Distribute the negative sign In [&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-253446","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253446","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=253446"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253446\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=253446"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=253446"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=253446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}