\[\begin{array}{l}
\dfrac{{3x - 1 - \dfrac{{x - 1}}{2}}}{3} - \dfrac{{2x + \dfrac{{1 - 2x}}{3}}}{2} = \dfrac{{\dfrac{{3x - 1}}{2} - 6}}{5}\\
\Leftrightarrow \dfrac{{5x - 1}}{6} - \dfrac{{4x - 1}}{6} = \dfrac{{3x - 13}}{{10}}\\
\Rightarrow 5(5x - 1) - 5(4x - 1) = 3(3x - 13)\\
\Rightarrow 25x - 20x - 5 + 2 = 9x - 39\\
\Rightarrow 4x + 36 = 0\\
\Rightarrow x = - 9
\end{array}\]
