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

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


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

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

Combine like terms: 6x + -1x = 5x
3 + 5x = 5(x + 1) + -2

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

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

Combine like terms: 5 + -2 = 3
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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