\[\frac{4x}{5} = \frac{x - 9}{2}\ \ \ \ \ \ \ \ \ \ \ \ | \cdot 10\]
\[2 \cdot 4x = 5 \cdot (x - 9)\]
\[8x = 5x - 45\]
\[8x - 5x = - 45\]
\[3x = - 45\]
\[x = - 45\ :3\]
\[x = - 15.\]
\[Ответ:x = - 15.\]