x+1-1-(1-1)=1+1+1+x-(x-1)

Solution for x+1-1-(1-1)=1+1+1+x-(x-1) equation:

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

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

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

Anything times zero is zero.
x + 1 + -1 + 0 = 1 + 1 + 1 + x + -1(x + -1)

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

Combine like terms: 1 + -1 = 0
0 + 0 + x = 1 + 1 + 1 + x + -1(x + -1)
0 + x = 1 + 1 + 1 + x + -1(x + -1)
Remove the zero:
x = 1 + 1 + 1 + x + -1(x + -1)

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

Reorder the terms:
x = 1 + 1 + 1 + 1 + x + -1x

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

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

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

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

Solving
x = 4

Solving for variable 'x'.

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

Simplifying
x = 4