f(x+2)-f(x-2)=64

Solution for f(x+2)-f(x-2)=64 equation:

Simplifying
f(x + 2) + -1f(x + -2) = 64

Reorder the terms:
f(2 + x) + -1f(x + -2) = 64
(2 * f + x * f) + -1f(x + -2) = 64
(2f + fx) + -1f(x + -2) = 64

Reorder the terms:
2f + fx + -1f(-2 + x) = 64
2f + fx + (-2 * -1f + x * -1f) = 64
2f + fx + (2f + -1fx) = 64

Reorder the terms:
2f + 2f + fx + -1fx = 64

Combine like terms: 2f + 2f = 4f
4f + fx + -1fx = 64

Combine like terms: fx + -1fx = 0
4f + 0 = 64
4f = 64

Solving
4f = 64

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '4'.
f = 16

Simplifying
f = 16