Solve
x\/3+6-2x=-6<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: ( x = 7.2 )<\/strong><\/mark><\/p>\n\n\n\n The given equation is:<\/p>\n\n\n\n [ [ Simplifying both sides:<\/p>\n\n\n\n [ The common denominator for ( \\frac{x}{3} ) and ( -2x ) is 3. Rewrite ( -2x ) as ( \\frac{6x}{3} ):<\/p>\n\n\n\n [ Now combine the terms on the left:<\/p>\n\n\n\n [ [ [ [ [ [ Thus, the solution is ( x = \\frac{36}{5} ) or ( x = 7.2 ).<\/p>\n\n\n\n This equation requires simplifying and solving for ( x ) by isolating it. The first step involves moving the constant term on the left side (6) over to the right-hand side to start simplifying the equation. Then, we deal with the fractions by ensuring that the ( x )-terms have a common denominator, making it easier to combine them.<\/p>\n\n\n\n By multiplying the equation by the least common denominator (3), we eliminate the fraction, turning the equation into a linear form where the variable ( x ) appears on only one side. Dividing both sides by the coefficient of ( x ) isolates the variable, yielding the solution ( x = 7.2 ).<\/p>\n\n\n\n This process highlights the importance of keeping equations balanced and simplifying step by step, using basic algebraic principles such as combining like terms, handling fractions, and isolating variables to find solutions.<\/p>\n","protected":false},"excerpt":{"rendered":" Solvex\/3+6-2x=-6 The Correct Answer and Explanation is : The correct answer is: ( x = 7.2 ) The given equation is: [\\frac{x}{3} + 6 – 2x = -6] Step-by-step solution: [\\frac{x}{3} + 6 – 2x – 6 = -6 – 6] Simplifying both sides: [\\frac{x}{3} – 2x = -12] The common denominator for ( \\frac{x}{3} […]<\/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-151403","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151403","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=151403"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151403\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=151403"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=151403"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=151403"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{x}{3} + 6 – 2x = -6
]<\/p>\n\n\n\nStep-by-step solution:<\/h3>\n\n\n\n
\n
\\frac{x}{3} + 6 – 2x – 6 = -6 – 6
]<\/p>\n\n\n\n
\\frac{x}{3} – 2x = -12
]<\/p>\n\n\n\n\n
\\frac{x}{3} – \\frac{6x}{3} = -12
]<\/p>\n\n\n\n
\\frac{x – 6x}{3} = -12
]<\/p>\n\n\n\n
\\frac{-5x}{3} = -12
]<\/p>\n\n\n\n\n
-5x = -12 \\times 3
]<\/p>\n\n\n\n
-5x = -36
]<\/p>\n\n\n\n\n
x = \\frac{-36}{-5}
]<\/p>\n\n\n\n
x = \\frac{36}{5}
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n