\[\frac{3x - 7}{8} - \frac{x - 3}{6} = 1\ \ \ \ \ \ \ \ | \cdot 24\]
\[3 \cdot (3x - 7) - 4 \cdot (x - 3) = 24\]
\[9x - 21 - 4x + 12 = 24\]
\[5x = 24 + 9\]
\[5x = 33\]
\[x = \frac{33}{5}\]
\[x = 6\frac{3}{5}.\]
\[Ответ:x = 6,6.\]