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

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


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

Reorder the terms:
3(-1 + 2x) = 5x + -1(-1x + 3)
(-1 * 3 + 2x * 3) = 5x + -1(-1x + 3)
(-3 + 6x) = 5x + -1(-1x + 3)

Reorder the terms:
-3 + 6x = 5x + -1(3 + -1x)
-3 + 6x = 5x + (3 * -1 + -1x * -1)
-3 + 6x = 5x + (-3 + 1x)

Reorder the terms:
-3 + 6x = -3 + 5x + 1x

Combine like terms: 5x + 1x = 6x
-3 + 6x = -3 + 6x

Add '3' to each side of the equation.
-3 + 3 + 6x = -3 + 3 + 6x

Combine like terms: -3 + 3 = 0
0 + 6x = -3 + 3 + 6x
6x = -3 + 3 + 6x

Combine like terms: -3 + 3 = 0
6x = 0 + 6x
6x = 6x

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

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

Combine like terms: 6x + -6x = 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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