\[\frac{2x - 6}{x + 2} = 0;\ \ \ \ \ x + 2 \neq 0;\ \ \ x \neq - 2\]
\[2x - 6 = 0\]
\[2x = 6\]
\[при\ x = 3.\]
\[Проверка:\]
\[\frac{2 \cdot 3 - 6}{3 + 2} = \frac{6 - 6}{5} = \frac{0}{5} = 0.\ \]