2-(x-(x-(x-2)))=0

Solution for 2-(x-(x-(x-2)))=0 equation:

Simplifying
2 + -1(x + -1(x + -1(x + -2))) = 0

Reorder the terms:
2 + -1(x + -1(x + -1(-2 + x))) = 0
2 + -1(x + -1(x + (-2 * -1 + x * -1))) = 0
2 + -1(x + -1(x + (2 + -1x))) = 0

Reorder the terms:
2 + -1(x + -1(2 + x + -1x)) = 0

Combine like terms: x + -1x = 0
2 + -1(x + -1(2 + 0)) = 0
2 + -1(x + -1(2)) = 0

Multiply -1 * 2
2 + -1(x + -2) = 0

Reorder the terms:
2 + -1(-2 + x) = 0
2 + (-2 * -1 + x * -1) = 0
2 + (2 + -1x) = 0

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

Solving
4 + -1x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4