\[\frac{2x - 3}{6} - \frac{4 - x}{3} = \frac{x - 2}{2}\ \ | \cdot 6\]
\[2x - 3 - 2(4 - x) = 3(x - 2)\]
\[2x - 3 - 8 + 2x = 3x - 6\]
\[4x - 3x = - 6 + 11\]
\[x = 5.\]
\[Ответ:x = 5.\]