Find the solution of $15 (x - 1) + 4 (x + 3) = 2 (7 + x)$

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Solution

$15 (x - 1) + 4 (x + 3) = 2 (7 + x)$
$\Rightarrow 15 x - 15 + 4 x + 12 = 14 + 2 x$
$\Rightarrow 15 x + 4 x - 15 + 12 = 2 x + 14$
$\Rightarrow 19 x - 3 = 2 x + 14$
Adding $- 2 x + 3$ both sides, we get
$\Rightarrow 19 x - 3 - 2 x + 3 = 2 x + 14 - 2 x + 3$
$\Rightarrow 17 x = 17$
$\Rightarrow x = \frac{17}{17}$
$∴ x = 1$

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