\[\frac{x - 7}{2} - \frac{x + 1}{3} = - 3\ \ \ \ |*6\]
\[(x - 7) \cdot 3 - 2 \cdot (x + 1) = - 3 \cdot 6\]
\[3x - 21 - 2x - 2 = - 18\]
\[x = 5\]
\[Ответ:x = 5.\]