Question

5/x+2 - 3/x-2 = 2/x​

Answer 1

Answer:

$\frac{5}{x + 2} - \frac{3}{x - 2} = \frac{2}{x} \\ \\ = > \frac{5(x - 2) - 3(x + 2)}{(x + 2)(x - 2)} = \frac{2}{x} \\ \\ = > \frac{5x - 10 - 3x - 6}{ {x}^{2} - {2}^{2} } = \frac{2}{x} \\ \\ = > \frac{2x - 16}{ {x}^{2} - 4} = \frac{2}{x} \\ \\ = > 2( {x}^{2} - 4) = x(2x - 16) \\ \\ = > 2 {x}^{2} - 8 = 2 {x}^{2} - 16x \\ \\ = > 2 {x}^{2} - 2 {x}^{2} - 8= - 16x \\ \\ = > - 8 + 16x = 0 \\ \\ = > 16x = 8 \\ \\ = > x = \frac{8}{16} \\ \\ = > x = \frac{1}{2}$

hope this much helps uh ❣️