\[\frac{3x - 1}{4} - \frac{4x + 1}{3} = \frac{7}{12}\text{\ \ \ \ \ }| \cdot 12\]
\[3 \cdot (3x - 1) - 4 \cdot (4x + 1) = 7\]
\[9x - 3 - 16x - 4 = 7\]
\[- 7x = 7 + 7\]
\[- 7x = 14\]
\[x = - 2\]
\[Ответ:x = - 2.\]