Solve $3 (x + 1) = 12 + 4 (x - 1)$ for the value of $x$ .

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Solution

Given, $3 (x + 1) = 12 + 4 (x - 1)$
$\Rightarrow 3 x + 3 = 12 + 4 x - 4$
$\Rightarrow 3 x + 3 = 4 x + 8$
Transpose $x$ terms on one side,
$4 x - 3 x = 3 - 8$
$\Rightarrow x = - 5$

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