Решите уравнение: (7x-3)/6=(5x+1)/2.

\[\frac{7x - 3}{6} = \frac{5x + 1}{2}\ \ \ \ \ | \cdot 6\]

\[7x - 3 = 3 \cdot (5x + 1)\]

\[7x - 3 = 15x + 3\]

\[15x - 7x = - 3 - 3\]

\[8x = - 6\]

\[x = - \frac{6}{8}\]

\[x = - \frac{3}{4}.\]