Math, asked by aditiggasalvi, 3 months ago

solve the following equation 3 x+12=2x-4​

Answers

Answered by rekhamaity9898
1

Answer:

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Answered by BrainlyRish
7

Given : The Equation :  \longmapsto \sf 3x + 12= 2x - 4 \\

Exigency to Solve : The Given Equation .

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\qquad \dag\:\:\bigg\lgroup \sf{Equation \:\:: 3x + 12 = 2x - 4 }\bigg\rgroup \\\\

\qquad \large {\bf{\gray{ Let's \:Solve \:the\:Equation \:: }}}\\

\qquad :\implies \sf 3x + 12 = 2x - 4 \\\\

\qquad :\implies \sf 3x + 12 + 4  = 2x  \\\\

\qquad :\implies \sf 3x + 16  = 2x  \\\\

\qquad :\implies \sf 3x  = 2x - 16  \\\\

\qquad :\implies \sf 3x - 2x  =  - 16  \\\\

\qquad \longmapsto \frak{\underline{\purple{\:x = - 6 }} }\bigstar \\

Therefore,

⠀⠀⠀⠀⠀\therefore {\underline{ \mathrm {\:The \:value\:of\:x \:is\:\bf{- 16}}}}\\

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V E R I F I C A T I O N :

\qquad \dag\:\:\bigg\lgroup \sf{Equation \:\:: 3x + 12 = 2x - 4 }\bigg\rgroup \\\\

As , We know that ,

  • x = -16 .

⠀⠀⠀⠀⠀⠀\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\

\qquad :\implies \sf 3x + 12 = 2x - 4 \\\\

\qquad :\implies \sf 3\times (-16)  + 12 = 2 \times (-16)  - 4 \\\\

\qquad :\implies \sf -48 + 12 = -32  - 4 \\\\

\qquad \longmapsto \frak{\underline{\purple{\: -36  = - 36 }} }\bigstar \\

⠀⠀⠀⠀⠀\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\\\\\

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