Let's first simplify both sides of the inequality:

Left side:
3(2x-1) + 3(x-1)
= 6x - 3 + 3x - 3
= 9x - 6

Right side:
5(x+2) + 2(2x-3)
= 5x + 10 + 4x - 6
= 9x + 4

Now we have:
9x - 6 > 9x + 4

Subtract 9x from both sides:
-6 > 4

This inequality is not true, since -6 is not greater than 4. Therefore, there is no solution to the inequality 3(2x-1) + 3(x-1) > 5(x+2) + 2(2x-3).