Solve the following equation:
$2 (6 x + 3) + 3 (x - 5) = 5 (4 x - 7)$

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Solution

We have,
$\Rightarrow 2 (6 x + 3) + 3 (x - 5) = 5 (4 x - 7)$
$\Rightarrow 12 x + 6 + 3 x - 15 = 20 x - 35 \Rightarrow 12 x + 3 x - 20 x = - 35 - 6 + 15 \Rightarrow - 5 x = - 26 \Rightarrow x = \frac{- 26}{- 5} \Rightarrow x = \frac{26}{5}$
Hence, $x = \frac{26}{5}$ is the solution of the given equation.

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