3(x-2) - 2(x + 1) > 5 x/2 + (x-1)/3 <= 2

1. Simplify the first inequality: 3x - 6 - 2x - 2 > 5 => x - 8 > 5 => x > 13.

2. Simplify the second inequality: (3x + 2(x-1))/6 <= 2 => 3x + 2x - 2 <= 12 => 5x <= 14 => x <= 14/5.

3. Find the intersection of the solutions: x > 13 and x <= 14/5. There is no intersection.