Solve, $4 (2 x - 1) - 2 (x - 5) = 5 (x + 1) + 3$

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Solution

Given, $4 (2 x - 1) - 2 (x - 5) = 5 (x + 1) + 3$
$\Rightarrow (8 x - 4) - (2 x - 10) = 5 x + 5 + 3$
$\Rightarrow 8 x - 4 - 2 x + 10 = 5 x + 8$
$\Rightarrow 6 x - 6 = 5 x + 8$
$\Rightarrow 6 x - 5 x = 8 + 6$
$∴ x = 14$
Hence, the required value of $x = 14$ .

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4 (2 x - 1) - 2 (x - 5) = 5 (x + 1) + 3

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