Question

2(x+3)=3(x+4)............................. ​

Answer 1

Answer:

x = -6

Step-by-step explanation:

$2(x + 3) = 3(x + 4) \\ = > 2x + 6 = 3x + 12 \\ = > 2x - 3x = 12 - 6 \\ = > - x = 6 \\ = > x = \frac{6}{ - 1} \\ = > x = - 6$

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Answer 2

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

• 2(x+3)=3(x+4)

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The value of x

${\green{\underline{\underline{\bold{Solution:-}}}}}$

$2( x + 3) = 3(x + 4) \\ \\ \implies \: 2x + 6 = 3x + 12 \\ \\ \implies \: 2x - 3x = 12 - 6 \\ \\ \implies \: - x = 6 \\ \\ \implies \: x = - 6$

____________

${\orange{\underline{\underline{\bold{Verification:-}}}}}$

Substitute the value of x = -6 in 2(x+3) = 3(x+4)

2(-6+3) = 3(-6+4)

=> 2(-3) = 3(-2)

=> -6 = -6

L.H.S = R.H.S