Solve the following equations.
$2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4)$

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Solution

$2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4)$

$2 x - 10 + 3 x - 6 = 8 + 7 x - 28$

$5 x - 16 = 7 x - 20.$

$20 - 16 = 7 x - 5 x .$

$2 x = 4$

$x = \frac{4}{2} = 2.$

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