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

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

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

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

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

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

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

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

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

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

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

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

Solving
1x = -1

Solving for variable 'x'.

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

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

Simplifying
x = -1