Решите уравнение: 1/x-5-1/x-7=1/x-1-1/x-3.

\[\frac{1^{\backslash x - 7}}{x - 5} - \frac{1^{\backslash x - 5}}{x - 7} = \frac{1^{\backslash x - 3}}{x - 1} - \frac{1^{\backslash x - 1}}{x - 3}\]

\[\frac{x - 7 - x + 5}{(x - 5)(x - 7)} = \frac{x - 3 - x + 1}{(x - 1)(x - 3)}\]

\[- 16x + 64 = 0\]

\[16x = 64\]

\[x = 4\]

\[Ответ:4.\]