Let's expand the expression:

(3x-2)(2x-1) = 6x^2 - 3x - 4x + 2 = 6x^2 - 7x + 2

(5x+2)(3x-4) = 15x^2 - 20x + 6x - 8 = 15x^2 - 14x - 8

Now, let's subtract the second expanded expression from the first:

(6x^2 - 7x + 2) - (15x^2 - 14x - 8) = 6x^2 - 7x + 2 - 15x^2 + 14x + 8
= 6x^2 - 15x^2 - 7x + 14x + 2 + 8
= -9x^2 + 7x + 10

Therefore, the final simplified expression is -9x^2 + 7x + 10.