\[\frac{x + 14}{6} - \frac{x - 12}{8} = 3\ \ \ \ \ \ \ \ | \cdot 24\]
\[4 \cdot (x + 14) - 3 \cdot (x - 12) =\]
\[= 3 \cdot 24\]
\[4x + 56 - 3x + 36 = 72\]
\[x = 72 - 56 - 36\]
\[x = - 20\]
\[Ответ:\ x = - 20.\]