1-2(x-1)=2(2-x)-1

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Solution for 1-2(x-1)=2(2-x)-1 equation: 


Simplifying
1 + -2(x + -1) = 2(2 + -1x) + -1

Reorder the terms:
1 + -2(-1 + x) = 2(2 + -1x) + -1
1 + (-1 * -2 + x * -2) = 2(2 + -1x) + -1
1 + (2 + -2x) = 2(2 + -1x) + -1

Combine like terms: 1 + 2 = 3
3 + -2x = 2(2 + -1x) + -1
3 + -2x = (2 * 2 + -1x * 2) + -1
3 + -2x = (4 + -2x) + -1

Reorder the terms:
3 + -2x = 4 + -1 + -2x

Combine like terms: 4 + -1 = 3
3 + -2x = 3 + -2x

Add '-3' to each side of the equation.
3 + -3 + -2x = 3 + -3 + -2x

Combine like terms: 3 + -3 = 0
0 + -2x = 3 + -3 + -2x
-2x = 3 + -3 + -2x

Combine like terms: 3 + -3 = 0
-2x = 0 + -2x
-2x = -2x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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