Let's simplify the left side of the equation:

(х+3)(х-2) - (х-3)(х+2) - 5
= (х^2 - 2х + 3х - 6) - (х^2 + 2х - 3х - 6) - 5
= (х^2 + х - 6) - (х^2 - х - 6) - 5
= х^2 + х - 6 - х^2 + х + 6 - 5
= 2х - 5

Now we can set the simplified left side of the equation equal to the right side to solve for x:

2х - 5 = 6х - 7
-5 + 7 = 6х - 2
2 = 6х - 2
2 + 2 = 6х
4 = 6х
x = 4/6
x = 2/3

Therefore, the solution to the equation is x = 2/3.