2(x-1)=2(x-3)

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Solution for 2(x-1)=2(x-3) equation:


Simplifying
2(x + -1) = 2(x + -3)

Reorder the terms:
2(-1 + x) = 2(x + -3)
(-1 * 2 + x * 2) = 2(x + -3)
(-2 + 2x) = 2(x + -3)

Reorder the terms:
-2 + 2x = 2(-3 + x)
-2 + 2x = (-3 * 2 + x * 2)
-2 + 2x = (-6 + 2x)

Add '-2x' to each side of the equation.
-2 + 2x + -2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 0 = -6 + 2x + -2x
-2 = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 = -6 + 0
-2 = -6

Solving
-2 = -6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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