Solve: $\frac{3 x + 5}{2 x + 7} = 5$ .

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Solution

Cross-multiplying:
$3 x + 5 = 5 (2 x + 7)$
$⟹ 3 x + 5 = 10 x + 35$
$⟹ - 7 x = 30$
$⟹ x = - \frac{30}{7}$

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