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Algebraic Equation

If 3 x + 5 ...

Question

If $3 (x + 5) + 16 = 5 (x + 14) - 21,$ then $x =$

A

x = - 8

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B

x = - 7

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C

x = - 6

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D

x = - 9

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Solution

The correct option is D $x = - 9$
$3 (x + 5) + 16 = 5 (x + 14) - 21$
$\Rightarrow 3 x + 15 + 16 = 5 x + 70 - 21$
$\Rightarrow 3 x + 31 = 5 x + 49$
$\Rightarrow 2 x = - 18$
$\Rightarrow x = - 9$ (D)

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