If $2 (x - 4) = 3 (3 x + 2)$ , then the value of $x$ is

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Solution

The given equation is
$2 (x - 4) = 3 (3 x + 2)$

$\Rightarrow$ $2 x - 8 = 9 x + 6$

$\Rightarrow$ $2 x - 9 x = 6 + 8$

$\Rightarrow$ $- 7 x = 14$

$\Rightarrow$ $x = \frac{14}{- 7}$

$\Rightarrow$ $x = - 2$

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