Решите уравнение x+5/x-5=x-5/x+5

$\frac{x + 5}{x - 5} = \frac{x - 5}{x + 5} \\ \frac{x + 5}{x - 5} - \frac{x - 5}{x + 5} = 0 \\ \frac{ {(x + 5)}^{2} - {(x - 5)}^{2} }{ {x}^{2} - 25} = 0 \\ \frac{ {x}^{2} + 10x + 25 - {x}^{2} + 10x - 25}{ {x}^{2} - 25} = 0 \\ \frac{20x}{ {x}^{2} - 25} = 0 \\ \\ 20x = 0 \\ x = 0 \\ \\ {x}^{2} - 25 = (x - 5)(x + 5)$
(x-5)(x+5) не равно 0.
x не равно 5 и -5