Let's simplify the left side of the equation:
(х+3)(х-2) - (х-3)(х+2) - = (х^2 - 2х + 3х - 6) - (х^2 + 2х - 3х - 6) - = (х^2 + х - 6) - (х^2 - х - 6) - = х^2 + х - 6 - х^2 + х + 6 - = 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 - -5 + 7 = 6х - 2 = 6х - 2 + 2 = 64 = 6x = 4/x = 2/3
Therefore, the solution to the equation is x = 2/3.
Let's simplify the left side of the equation:
(х+3)(х-2) - (х-3)(х+2) -
= (х^2 - 2х + 3х - 6) - (х^2 + 2х - 3х - 6) -
= (х^2 + х - 6) - (х^2 - х - 6) -
= х^2 + х - 6 - х^2 + х + 6 -
= 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 -
-5 + 7 = 6х -
2 = 6х -
2 + 2 = 6
4 = 6
x = 4/
x = 2/3
Therefore, the solution to the equation is x = 2/3.