Question

5/x-2 - 3/x+6 = 4/2x+1​

Answer 1

Answer:

heya mate ☺

$\frac{5}{x - 2} - \frac{3}{x + 6} = \frac{4}{2x + 1} \\ \\ = > \frac{5(x + 6) - 3(x - 2)}{(x - 2)(x + 6)} = \frac{4}{2x + 1} \\ \\ = > \frac{5x + 36 - (3x - 6)}{x ^{2} + 6x - 2x - 12 } = \frac{4}{2x + 1} \\ \\ = > \frac{5x + 36 - 3x + 6}{x ^{2} + 4x - 12 } = \frac{4x}{2x + 1} \\ \\ = > \frac{2x + 42}{x ^{2} + 4x - 12 } = \frac{4}{2x + 1} \\ \\ = > (2x + 42)(2x + 1) = 4(x ^{2} + 4x - 12) \\ \\ = > 4x ^{2} + 2x + 84x + 42 = 4x ^{2} + 16x - 48 \\ \\ = > 4x ^{2} + 86x + 42 = 4x ^{2} + 16x - 48 \\ \\ = > 86x - 16x = - 48 - 42 \\ \\ = > 70x = - 90 \\ \\ = > x = \frac{ - 90}{70} \\ \\ = > x = \frac{ - 9}{7}$

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