Solve for $x$ :
$5 (x + 2) - 2 (3 - 4 x) = 3 (x + 5) - 4 (4 - x)$

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Solution

Given, $5 (x + 2) - 2 (3 - 4 x) = 3 (x + 5) - 4 (4 - x)$
$⟹$ $5 x + 10 - 6 + 8 x = 3 x + 15 - 16 + 4 x$ ...[By Distribution Law]
$⟹$ $13 x + 4 = 7 x - 1$ ...[On simplifying]
$⟹$ $13 x - 7 x = - 1 - 4$ ...[Transposing $x$ terms to one side]
$⟹$ $6 x = - 5$
$⟹$ $x = \frac{- 5}{6}$ ...[Transposing $6$ to RHS].

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