\[\frac{3x - 5^{\backslash x - 2}}{x - 1} - \frac{2x - 5^{\backslash x - 1}}{x - 2} =\]
\[= 1^{\backslash\text{(}x - 1)(x - 2)},\ \ x \neq 1,\]
\[x \neq 2\]
\[x^{2} - x^{2} - 4x + 3x = 2 - 5\]
\[- x = - 3\]
\[x = 3\]
\[Ответ:x = 3.\]