\[\frac{x - 4}{5} + 1 = \frac{2x + 4}{9}\ \ \ | \cdot 45\]
\[9 \cdot (x - 4) + 45 = 5 \cdot (2x + 4)\]
\[9x - 36 + 45 = 10x + 20\]
\[9x - 10x = 20 - 9\]
\[- x = 11\]
\[x = - 11.\]
\[Ответ:x = - 11.\ \]