\[\frac{x - 1}{2} = \frac{4 + 5x}{3}\ \ \ \ \ \ | \cdot 6\]
\[3 \cdot (x - 1) = 2 \cdot (4 + 5x)\]
\[3x - 3 = 8 + 10x\]
\[3x - 10x = 8 + 3\]
\[- 7x = 11\]
\[x = - \frac{11}{7}\]
\[Ответ:\ x = - 1\frac{4}{7}.\]