\[\frac{x + 3}{4} = \frac{2x - 7}{5}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \cdot 20\]
\[5 \cdot (x + 3) = 4 \cdot (2x - 7)\]
\[5x + 15 = 8x - 28\]
\[8x - 5x = 15 + 28\]
\[3x = 43\]
\[x = \frac{43}{3}\]
\[x = 14\frac{1}{3}.\]