Question

solve and find the value of x and verify
$2(3x + 1) = 12 + 2(4x + 3)$
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Answer 1

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$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and find the value of x

2(3x+1)=12+2(4x+3)

$\huge\tt\underline\blue{Answer }$

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$⟹2(3x + 1) = 12 + 2(4x + 3)$

$⟹6x + 2 = 12 + 8x + 6$

$⟹2 - 12 - 6 = 8x - 6x$

$⟹ - 16 = 2x$

$⟹ \frac{ - 16}{2} = 2x$

$⟹x = - 8$

CHECK:-

$⟹2(3( - 8) + 1) = 12 + 2(4( - 8) + 3)$

$⟹2( - 24 + 1) = 12 + 2( - 32 + 3)$

$⟹2( - 23) = 12 + 2( - 29)$

$⟹ - 46 = 12 - 58$

$⟹ - 46 = - 46$

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HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

Hello friend,
Your answer is in the given below.
2(3x+1)=12+2(4x+3)
6x+2 =12+8x+6
6x+2 =18+8x
6x-8x =18-2
-2x =16
x= -8

Verification-
LHS=2(3x+1)
=2[3(-8)+1]
=2[-24+1]
=2(-23)
= -46

RHS=12+2(4x+3)
=12+2[4(-8)+3]
=12+2[-32+3]
=12+2*-29
=12-58
= -46

Since, LHS=RHS
The given equation is verified.


HOPE THIS WILL HELP YOU.