Solve: 64 + (- 2x + 4) 2 = 4 (2 + x) 2

I assume you meant:

64 + (- 2x + 4)^2 = 4(2 + x)^2
64 + 4x^2 - 16x + 16 = 16 + 16x + 4x^2
64 = 32x
x = 2