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

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


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

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

Reorder the terms:
-2 + 2x = 2(-3 + x) + -1
-2 + 2x = (-3 * 2 + x * 2) + -1
-2 + 2x = (-6 + 2x) + -1

Reorder the terms:
-2 + 2x = -6 + -1 + 2x

Combine like terms: -6 + -1 = -7
-2 + 2x = -7 + 2x

Add '-2x' to each side of the equation.
-2 + 2x + -2x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 0 = -7 + 2x + -2x
-2 = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 = -7 + 0
-2 = -7

Solving
-2 = -7

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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