2(x+1)-3(x-1)=5-x

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Solution for 2(x+1)-3(x-1)=5-x equation: 


Simplifying
2(x + 1) + -3(x + -1) = 5 + -1x

Reorder the terms:
2(1 + x) + -3(x + -1) = 5 + -1x
(1 * 2 + x * 2) + -3(x + -1) = 5 + -1x
(2 + 2x) + -3(x + -1) = 5 + -1x

Reorder the terms:
2 + 2x + -3(-1 + x) = 5 + -1x
2 + 2x + (-1 * -3 + x * -3) = 5 + -1x
2 + 2x + (3 + -3x) = 5 + -1x

Reorder the terms:
2 + 3 + 2x + -3x = 5 + -1x

Combine like terms: 2 + 3 = 5
5 + 2x + -3x = 5 + -1x

Combine like terms: 2x + -3x = -1x
5 + -1x = 5 + -1x

Add '-5' to each side of the equation.
5 + -5 + -1x = 5 + -5 + -1x

Combine like terms: 5 + -5 = 0
0 + -1x = 5 + -5 + -1x
-1x = 5 + -5 + -1x

Combine like terms: 5 + -5 = 0
-1x = 0 + -1x
-1x = -1x

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

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

Combine like terms: -1x + x = 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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