(x+2)(x-2) means to take the result of X+2 and times it with the result of x-2.
While it is common in algebra to bring the other side over, in order to simplify it, this isn't how you'd do it.
Here, you'd either cancel out the X (by removing it on both sides) or the -2 (by adding 2 to both sides) over to make 2=-2 or X+4=X respectively, which are both nonsense equations.