Solve: $5 (x - 3) - 7 (6 - x) + 3 = 24 - 3 (8 - x)$

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Solution

given, $5 (x - 3) - 7 (6 - x) + 3 = 24 - 3 (8 - x)$

$\Rightarrow 5 x - 15 - 42 + 7 x + 3 = 24 - 24 + 3 x$

$\Rightarrow 12 x - 54 = 3 x$

$\Rightarrow 12 x - 3 x = 54$

$\Rightarrow 9 x = 54$

$\Rightarrow x = \frac{54}{9} = 6$

$∴ x = 6$

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