1-x=x+1

Solution for 1-x=x+1 equation:

Simplifying
1 + -1x = x + 1

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

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

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

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

Solving
-1x = x

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.
-1x + -1x = x + -1x

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0