What is the value of x in the following equation?
2\/3x+2=4<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n We are asked to solve the equation: The first step is to isolate the term with ( x ) on one side of the equation. To do this, we need to remove the constant term on the left side. In this case, the constant term is ( 2 ). We can subtract ( 2 ) from both sides of the equation to maintain the equality:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Next, to eliminate the fraction, we multiply both sides of the equation by the reciprocal of ( \\frac{2}{3} ), which is ( \\frac{3}{2} ). This step will help isolate ( x ) on the left side.<\/p>\n\n\n\n [ On the left side, ( \\frac{3}{2} \\times \\frac{2}{3} = 1 ), so we are left with:<\/p>\n\n\n\n [ Now, we simplify the right side of the equation:<\/p>\n\n\n\n [ Thus, the solution to the equation is:<\/p>\n\n\n\n [ To verify, substitute ( x = 3 ) back into the original equation:<\/p>\n\n\n\n [ Simplifying the left side:<\/p>\n\n\n\n [ Since both sides of the equation are equal, the solution ( x = 3 ) is correct.<\/p>\n\n\n\n The value of ( x ) is ( 3 ). This method involves isolating the variable, eliminating fractions by multiplying by the reciprocal, and verifying the solution by substituting it back into the original equation.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the value of x in the following equation?2\/3x+2=4 The Correct Answer and Explanation is: We are asked to solve the equation:[\\frac{2}{3}x + 2 = 4] Step 1: Isolate the term with ( x ) The first step is to isolate the term with ( x ) on one side of the equation. To […]<\/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-167945","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167945","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=167945"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167945\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167945"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167945"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167945"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
[
\\frac{2}{3}x + 2 = 4
]<\/p>\n\n\n\nStep 1: Isolate the term with ( x )<\/h3>\n\n\n\n
\\frac{2}{3}x + 2 – 2 = 4 – 2
]<\/p>\n\n\n\n
\\frac{2}{3}x = 2
]<\/p>\n\n\n\nStep 2: Eliminate the fraction<\/h3>\n\n\n\n
\\frac{3}{2} \\times \\frac{2}{3}x = \\frac{3}{2} \\times 2
]<\/p>\n\n\n\n
x = \\frac{3}{2} \\times 2
]<\/p>\n\n\n\nStep 3: Simplify the right side<\/h3>\n\n\n\n
x = \\frac{3 \\times 2}{2} = \\frac{6}{2} = 3
]<\/p>\n\n\n\n
x = 3
]<\/p>\n\n\n\nStep 4: Verify the solution<\/h3>\n\n\n\n
\\frac{2}{3} \\times 3 + 2 = 4
]<\/p>\n\n\n\n
2 + 2 = 4
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n