{"id":228168,"date":"2025-06-07T04:06:23","date_gmt":"2025-06-07T04:06:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228168"},"modified":"2025-06-07T04:06:25","modified_gmt":"2025-06-07T04:06:25","slug":"how-do-you-solve-this-4x-2x-20x-x","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/how-do-you-solve-this-4x-2x-20x-x\/","title":{"rendered":"How do you solve this 4x – 2x -20x + x"},"content":{"rendered":"\n
How do you solve this 4x – 2x -20x + x<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
To solve an algebraic expression like 4x\u22122x\u221220x+x4x – 2x – 20x + x4x\u22122x\u221220x+x, we need to simplify by combining like terms. \u201cLike terms\u201d are terms that have the same variable raised to the same power. In this case, all terms contain the variable x<\/strong> and no exponents, which means they are all like terms.<\/p>\n\n\n\n
The key to simplifying such expressions is to treat the coefficients (the numbers in front of the variable) as if they are simple numbers and perform the basic operations: addition and subtraction.<\/p>\n\n\n\n
Here’s how it works step-by-step:<\/p>\n\n\n\n
\n
Start with the first two terms: 4x\u22122x=2x4x – 2x = 2x4x\u22122x=2x. This is because 4 minus 2 equals 2, and the variable x<\/strong> is common.<\/li>\n\n\n\n
Next, subtract 20x from 2x: 2x\u221220x=\u221218x2x – 20x = -18x2x\u221220x=\u221218x. Again, we subtract the coefficients and keep the variable.<\/li>\n\n\n\n
Finally, add x<\/strong> to -18x<\/strong>. Remember, x<\/strong> is the same as 1x<\/strong>, so \u221218x+1x=\u221217x-18x + 1x = -17x\u221218x+1x=\u221217x.<\/li>\n<\/ul>\n\n\n\n
The entire process is like balancing a checkbook with x\u2019s\u2014add and subtract the amounts represented by each x term.<\/p>\n\n\n\n
This expression doesn’t have any constants (just numbers with no variable), so we don\u2019t need to worry about those.<\/p>\n\n\n\n
In conclusion, when you combine all the like terms, you get a simplified expression of:\u221217x\\boxed{-17x}\u221217x\u200b<\/p>\n\n\n\n
This is the simplest form and the correct final answer.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
How do you solve this 4x – 2x -20x + x The Correct Answer and Explanation is: Expression: 4x\u22122x\u221220x+x4x – 2x – 20x + x4x\u22122x\u221220x+x Step-by-step Simplification: Final Answer: \u221217x\\boxed{-17x}\u221217x\u200b Explanation: To solve an algebraic expression like 4x\u22122x\u221220x+x4x – 2x – 20x + x4x\u22122x\u221220x+x, we need to simplify by combining like terms. \u201cLike terms\u201d are […]<\/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-228168","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228168","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=228168"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228168\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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