x-1=-x+1

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


Simplifying
x + -1 = -1x + 1

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

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

Solving
-1 + x = 1 + -1x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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