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

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

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

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

Remove parenthesis around (-1 + x)
-1 + x = (x + 1) + -1

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

Remove parenthesis around (1 + x)
-1 + x = 1 + x + -1

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

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

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

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

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

Solving
-1 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.