Let's simplify the given equation step by step:
(х+1)(х+2) - (х-3)(х+4) = 12х^2 + 2х + х + 2 - (х^2 + 4х - 3х - 12) = 12х^2 + 3х + 2 - х^2 - x - 12 = 123х - x + 2 - 12 = 122х - 10 = 122х = 22х = 22/2х = 11
Therefore, the solution to the equation is х = 11.
Let's simplify the given equation step by step:
(х+1)(х+2) - (х-3)(х+4) = 12
х^2 + 2х + х + 2 - (х^2 + 4х - 3х - 12) = 12
х^2 + 3х + 2 - х^2 - x - 12 = 12
3х - x + 2 - 12 = 12
2х - 10 = 12
2х = 22
х = 22/2
х = 11
Therefore, the solution to the equation is х = 11.