To solve this equation, we need to first expand both sets of parentheses and then simplify the expression.

(2х+3)(3х-2) = 6x^2 - 4x + 9x - 6 = 6x^2 + 5x - 6

(1-3х)(3-2х) = 3 - 2x - 9x + 6x^2 = 6x^2 - 11x + 3

Now, we can substitute these expanded expressions back into the original equation:

(6x^2 + 5x - 6) - (6x^2 - 11x + 3) = 7

Now simplify the expression:

6x^2 + 5x - 6 - 6x^2 + 11x - 3 = 7

Combine like terms:

16x - 9 = 7

Add 9 to both sides:

16x = 16

Divide by 16:

x = 1

Therefore, the solution to the equation is x = 1.