x-[x-(2-x)-1]=-(1-x)

Solution for x-[x-(2-x)-1]=-(1-x) equation:

Simplifying
x + -1[x + -1(2 + -1x) + -1] = -1(1 + -1x)
x + -1[x + (2 * -1 + -1x * -1) + -1] = -1(1 + -1x)
x + -1[x + (-2 + 1x) + -1] = -1(1 + -1x)

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

Combine like terms: -2 + -1 = -3
x + -1[-3 + x + 1x] = -1(1 + -1x)

Combine like terms: x + 1x = 2x
x + -1[-3 + 2x] = -1(1 + -1x)
x + [-3 * -1 + 2x * -1] = -1(1 + -1x)
x + [3 + -2x] = -1(1 + -1x)

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

Combine like terms: x + -2x = -1x
3 + -1x = -1(1 + -1x)
3 + -1x = (1 * -1 + -1x * -1)
3 + -1x = (-1 + 1x)

Solving
3 + -1x = -1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + -1x + -1x = -1 + 1x + -1x

Combine like terms: -1x + -1x = -2x
3 + -2x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + -2x = -1 + 0
3 + -2x = -1

Add '-3' to each side of the equation.
3 + -3 + -2x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -1 + -3
-2x = -1 + -3

Combine like terms: -1 + -3 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2