(x + 4)*2 + 4(x*2 + 2) > (x - 2)*2 + 4x(x + 2)
(x+4)(x+4) + 4x^2 + 8 > (x - 2) (x-2) +4x^2 + 8x <---- Do not forget the middle terms. (x + 4)*2 is not x^2 + 4^2.
x^2 + 4x + 4x + 16 + 4x^2 + 8 > x^2 - 2x - 2x + 4 + 4x^2 +8x
5x^2 + 8x + 24 > 5x^2 + 4x + 4
4x > -20
x > -5
or:
20 > -4x
-20 < 4x
-5 < x
^ Note the change in > to < for future.