{"id":220082,"date":"2025-05-27T13:04:20","date_gmt":"2025-05-27T13:04:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=220082"},"modified":"2025-05-27T13:04:22","modified_gmt":"2025-05-27T13:04:22","slug":"simplify-3x-4-5x-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/27\/simplify-3x-4-5x-3\/","title":{"rendered":"Simplify (3x &#8211; 4)-(5x -3)."},"content":{"rendered":"\n<p>Simplify (3x &#8211; 4)-(5x -3).<\/p>\n\n\n\n<p>-2r<br>-2x -1<br>2x -1<br>2x-7<\/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<h3 class=\"wp-block-heading\">Simplified Answer:<\/h3>\n\n\n\n<p>To simplify the expression:<br><strong>(3x &#8211; 4) &#8211; (5x &#8211; 3)<\/strong><\/p>\n\n\n\n<p>Step 1: Distribute the minus sign to the second set of parentheses:<br>= 3x &#8211; 4 &#8211; 5x + 3<\/p>\n\n\n\n<p>Step 2: Combine like terms:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine the x terms: 3x &#8211; 5x = -2x<\/li>\n\n\n\n<li>Combine the constants: -4 + 3 = -1<\/li>\n<\/ul>\n\n\n\n<p><strong>Final answer: -2x &#8211; 1<\/strong><\/p>\n\n\n\n<p>\u2705 Correct option: <strong>-2x &#8211; 1<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Explanation:<\/h3>\n\n\n\n<p>To simplify an algebraic expression like <strong>(3x &#8211; 4) &#8211; (5x &#8211; 3)<\/strong>, we follow basic algebra rules for combining like terms and handling parentheses.<\/p>\n\n\n\n<p><strong>Step 1: Understanding the structure<\/strong><br>The expression is composed of two binomials: <strong>(3x &#8211; 4)<\/strong> and <strong>(5x &#8211; 3)<\/strong>. The minus sign in between them means we are subtracting the entire second binomial from the first. This is crucial \u2014 we must subtract <strong>both<\/strong> terms in the second group.<\/p>\n\n\n\n<p><strong>Step 2: Remove the parentheses<\/strong><br>Since we are subtracting the second group, we must distribute the minus sign (which is equivalent to multiplying by -1). This changes the sign of every term inside the second parentheses:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>From <strong>(5x &#8211; 3)<\/strong>, we get <strong>-5x + 3<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Now rewrite the expression:<br><strong>3x &#8211; 4 &#8211; 5x + 3<\/strong><\/p>\n\n\n\n<p><strong>Step 3: Combine like terms<\/strong><br>Group terms with the same variable or type:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Variables: 3x &#8211; 5x = <strong>-2x<\/strong><\/li>\n\n\n\n<li>Constants: -4 + 3 = <strong>-1<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Putting them together, we get the simplified expression:<br><strong>-2x &#8211; 1<\/strong><\/p>\n\n\n\n<p>This is the cleanest, most simplified form \u2014 no parentheses, no further combining possible.<\/p>\n\n\n\n<p><strong>Common Mistakes to Avoid:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forgetting to distribute the minus sign to both terms in the second group.<\/li>\n\n\n\n<li>Combining unlike terms (e.g., constants and variables).<\/li>\n\n\n\n<li>Reversing signs incorrectly during distribution.<\/li>\n<\/ul>\n\n\n\n<p>Understanding these steps ensures clarity when simplifying expressions and builds a strong foundation for solving more complex algebraic problems.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/learnexams-banner8-39.jpeg\" alt=\"\" class=\"wp-image-220083\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Simplify (3x &#8211; 4)-(5x -3). -2r-2x -12x -12x-7 The Correct Answer and Explanation is: Simplified Answer: To simplify the expression:(3x &#8211; 4) &#8211; (5x &#8211; 3) Step 1: Distribute the minus sign to the second set of parentheses:= 3x &#8211; 4 &#8211; 5x + 3 Step 2: Combine like terms: Final answer: -2x &#8211; 1 [&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-220082","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/220082","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=220082"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/220082\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=220082"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=220082"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=220082"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}