\[\frac{x - 1}{2} - \frac{2x}{3} = \frac{x + 3}{5}\ \ \ \ \ \ \ | \cdot 30\]
\[15 \cdot (x - 1) - 10 \cdot 2x = 6 \cdot (x + 3)\]
\[15x - 15 - 20x = 6x + 18\]
\[- 5x - 6x = 18 + 15\]
\[- 11x = 33.\]
\[x = 33\ :( - 11)\]
\[x = - 3\]
\[Ответ:x = - 3.\]