\[\frac{x + 2}{5} = \frac{3x - 5}{4}\ \ \ | \cdot 20\]
\[4 \cdot (x + 2) = 5 \cdot (3x - 5)\]
\[4x + 8 = 15x - 25\]
\[4x - 15x = - 25 - 8\]
\[- 11x = - 33\]
\[x = 3.\]