Let's simplify the inequality step by step:

2(x-1) + 3(2-x) > 4(2x+1)
2x - 2 + 6 - 3x > 8x + 4
4 - x > 8x + 4
4 - x > 8x + 4

Now, let's solve for x:
4 - x > 8x + 4
Add x to both sides:
4 > 8x + 4 + x
4 > 9x + 4
Subtract 4 from both sides:
0 > 9x
Divide by 9 (note that we are dividing by a negative number):
0 > x

Therefore, the solution to the inequality is x < 0.