\[\frac{x^{2} - 7x}{x + 2} = \frac{18}{x + 2}\ \ \ \ | \cdot (x + 2);\ x \neq - 2\]
\[x^{2} - 7x = 18\]
\[x² - 7x - 18 = 0\]
\[x_{1} + x_{2} = 7;\ \ \ \ \ x_{1} \cdot x_{2} = - 18\]
\[x_{1} = 9;\ \ \ \ \ \ \ \ \ \ \ \ \ \ x_{2} = - 2\ (не\ подходит).\]
\[Ответ:x = 9.\]