\[\frac{2x - 1}{5} - \frac{x + 1}{2} = 1\ \ \ \ \ \ | \cdot 10\]
\[2(2x - 1) - 5(x + 1) = 10\]
\[4x - 2 - 5x - 5 = 10\]
\[- x = 10 + 7\]
\[x = - 17.\]