\[\frac{6x}{7} = \frac{x - 5}{2}\ \ \ \ \ \ \ \ \ \ \ | \cdot 14\]
\[2 \cdot 6x = 7 \cdot (x - 5)\]
\[12x = 7x - 35\]
\[12x - 7x = - 35\]
\[5x = - 35\]
\[x = - 35\ :5\]
\[x = - 7.\]
\[Ответ:x = - 7.\]