Solve the following equation:
$3 - 2 (x - 2) = 5 (2 x - 3) - 2 (3 x - 1)$ .

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Solution

Given, $3 - 2 (x - 2) = 5 (2 x - 3) - 2 (3 x - 1)$

$⟹$ $3 - 2 x + 4 = 10 x - 15 - 6 x + 2$ ...[By Distribution Law]

$⟹$ $- 2 x + 7 = 4 x - 13$ ...[On simplifying]

$⟹$ $2 x + 4 x = 7 + 13$ ...[Transposing $x$ terms to one side]

$⟹$ $6 x = 20$ ...[On simplifying]

$⟹$ $x = \frac{20}{6} = \frac{10}{3}$ .

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