Solve the following equation:
$5 (2 x - 3) - 3 (3 x - 7) = 5$

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Solution

Given equation:
$5 (2 x - 3) - 3 (3 x - 7) = 5$
$\Rightarrow 10 x - 15 - 9 x + 21 = 5$
$\Rightarrow x + 6 = 5$
$\Rightarrow x = 5 - 6$
$\Rightarrow x = - 1$

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3 (3 x - 7) = 5 (2 x - 3)

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3 (\frac{3 x - 1}{2 x + 3}) - 2 (\frac{2 x + 3}{3 x - 1}) = 5; x \neq \frac{1}{3}, - \frac{3}{2}

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3 (\frac{3 x - 1}{2 x + 3}) - 2 (\frac{2 x + 3}{3 x - 1}) = 5; x \neq \frac{1}{3}, - \frac{3}{2}

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