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

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


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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + 5x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
0 + 5x = -3 + 3 + 5x
5x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
5x = 0 + 5x
5x = 5x

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

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

Combine like terms: 5x + -5x = 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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