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If $5 x + 72 = 32 x − 14,$ then find the value of x and select the option which represents the correct value.

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-5

-6

answer is B.

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Detailed Solution

The given linear equation is as follows,

5 x + 72 = 32 x − 14

.
We first multiply each side of the given equation by 2 and simplify it.

2 5 x + 72 = 2 32 x − 14 2 5 x + 272 = 2 32 x + 2 (− 14) 10 x + 7 = 3 x − 28

Subtracting 7 on both sides, we get,

10 x + 7 − 7 = 3 x − 28 − 7 10 x = 3 x − 35

Subtracting

3 x

on both sides, we get,

10 x − 3 x = 3 x − 35 − 3 x 7 x = − 35

Dividing by 7 on both sides, we get,

7 x 7 = − 35 7 x = − 5

So, the value of the variable x is -5.
Hence, the correct option is (2).

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