\[\frac{2x - 3}{9} + \frac{x - 1}{5} = 2\ \ \ | \cdot 45\]
\[5 \cdot (2x - 3) + 9 \cdot (x - 1) = 90\]
\[10x - 15 + 9x - 9 = 90\]
\[19x = 90 + 24\]
\[19x = 114\]
\[x = 6.\]