Question

3/x-2 - 2/x-3 = 4/x-3 - 3/x-1
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Answer 1

Step-by-step explanation:

$\frac{3}{x - 2} - \frac{2}{x - 3} = \frac{4}{x - 3} - \frac{3}{x - 1} \\ = > \frac{3x - 9 - 2x + 4}{(x - 2)(x - 3)} = \frac{4x - 4 - 3x + 9}{(x - 3)(x - 1)} \\ = > \frac{x - 5}{x - 2} = \frac{x + 5}{x - 1} = \frac{x + 5 - x + 5}{x - 1 - x + 2} \\ = \frac{10}{1} \\ = >x - 5 = 10x - 20 \\ = > 9x = 15 = > x = \frac{5}{3}$

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