Question

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

Answer 1

$\frac{2}{x - 3} \: \: \: + \: \: \frac{1}{x - 1} = \frac{5}{x - 1} - \: \: \frac{2}{x - 2} \\ \\ cross \: multiplication \\ \\ 2x - 2 + x - 3 = 5x - 10 + 2x - 2 \\ \\ 3x - 5 = 7x - 12 \\ \\ 7 = 4x \\ \\ x = \frac{4}{7}$

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