x^2-4=4-x^2

Solution for x^2-4=4-x^2 equation:

Simplifying
x2 + -4 = 4 + -1x2

Reorder the terms:
-4 + x2 = 4 + -1x2

Solving
-4 + x2 = 4 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-4 + x2 + x2 = 4 + -1x2 + x2

Combine like terms: x2 + x2 = 2x2
-4 + 2x2 = 4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 2x2 = 4 + 0
-4 + 2x2 = 4

Add '4' to each side of the equation.
-4 + 4 + 2x2 = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 2x2 = 4 + 4
2x2 = 4 + 4

Combine like terms: 4 + 4 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}