\[\frac{x - 1}{6} - \frac{x - 3}{4} = 2\ \ \ \ \ |*12\]
\[2 \cdot (x - 1) - 3 \cdot (x - 3) = 2 \cdot 12\]
\[2x - 2 - 3x + 9 = 24\]
\[- x = 17\]
\[x = - 17\]
\[Ответ:\ x = - 17.\]