\[\frac{2x - 1}{6} = \frac{6 - x}{8}\ \ \ \ | \cdot 24\]
\[4 \cdot (2x - 1) = 3 \cdot (6 - x)\]
\[8x - 4 = 18 - 3x\]
\[8x + 3x = 18 + 4\]
\[11x = 22\]
\[x = 2.\]