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

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


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

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

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

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

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

Combine like terms: -2 + 2 = 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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