\[\frac{3x - 1}{2} - \frac{5x + 1}{3} \leq x - 2\ \ \ | \cdot 6\]
\[3(3x - 1) - 2(5x + 1) \leq 6(x - 2)\]
\[9x - 3 - 10x - 2 \leq 6x - 12\]
\[- x - 6x \leq - 12 + 6\]
\[- 7x \leq - 6\]
\[x \geq \frac{6}{7}.\]