Solution:<\/h3>\n\n\n\n
We are given the expression: m=10x\u2212xm = 10x – x<\/p>\n\n\n\n
Step 1: Simplify the right-hand side<\/h3>\n\n\n\n
10x\u2212x=9x10x – x = 9x<\/p>\n\n\n\n
So the equation becomes: m=9xm = 9x<\/p>\n\n\n\n
Step 2: Solve for xx<\/h3>\n\n\n\n
x=m9x = \\frac{m}{9}<\/p>\n\n\n\n
\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
x=m9x = \\frac{m}{9}<\/p>\n\n\n\n
\n\n\n\n
300-Word Explanation:<\/h3>\n\n\n\n
This problem is a basic algebraic equation where the goal is to isolate the variable xx. The equation given is: m=10x\u2212xm = 10x – x<\/p>\n\n\n\n
To solve it, we first need to simplify the expression on the right-hand side. The terms 10x10x and \u2212x-x are like terms because they both contain the variable xx. When combining like terms in algebra, we perform simple arithmetic on their coefficients. In this case: 10x\u2212x=(10\u22121)x=9x10x – x = (10 – 1)x = 9x<\/p>\n\n\n\n
So the equation becomes: m=9xm = 9x<\/p>\n\n\n\n
Now, to isolate xx, we want to “undo” the multiplication. Since xx is being multiplied by 9, we perform the inverse operation: division. We divide both sides of the equation by 9: x=m9x = \\frac{m}{9}<\/p>\n\n\n\n
This is the final answer. It tells us the value of xx in terms of mm. It means that whatever value mm has, xx will be one-ninth of that value. For example, if m=27m = 27, then: x=279=3x = \\frac{27}{9} = 3<\/p>\n\n\n\n
This approach demonstrates a fundamental algebraic principle: simplify expressions first, then isolate the variable using inverse operations. This same technique applies to a wide range of algebra problems and forms the foundation for solving equations. Understanding how to manipulate variables and constants symbolically is key to mastering algebra and higher mathematics.<\/p>\n\n\n\n m = 10x – x solve for x The Correct Answer and Explanation is: Solution: We are given the expression: m=10x\u2212xm = 10x – x Step 1: Simplify the right-hand side 10x\u2212x=9x10x – x = 9x So the equation becomes: m=9xm = 9x Step 2: Solve for xx x=m9x = \\frac{m}{9} Final Answer: x=m9x = […]<\/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-225153","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225153","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=225153"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225153\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225153"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225153"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225153"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner7-147.jpeg\")
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