\[\frac{6x - 7}{x - 2} - \frac{x + 8}{x - 2} = 0\]
\[\frac{6x - 7 - x - 8}{x - 2} = 0;\ \ \ \ \ \ x \neq 2\]
\[5x - 15 = 0\]
\[5x = 15\]
\[x = 3.\]
\[Ответ:x = 3.\]