Solve the following equation for $x$ :
$3 (2 x + 5) = 10 x + 7 + 2 (x - 8)$ .

- 2

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4

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Solution

The correct option is C $4$
Given, $3 (2 x + 5) = 10 x + 7 + 2 (x - 8)$
$\Rightarrow 6 x + 15 = 10 x + 7 + 2 x - 16$ ...[By Distribution Law]
$\Rightarrow 6 x + 15 = 12 x - 9$ .

Transposing $x$ terms to one side, we get,
$\Rightarrow 12 x - 6 x = 15 + 9$
$\Rightarrow 6 x = 24$
$\Rightarrow x = 4$ .

Hence, option $C$ is correct.

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