6x-(x-3)=2x+3(x+1)

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Solution for 6x-(x-3)=2x+3(x+1) equation: 


Simplifying
6x + -1(x + -3) = 2x + 3(x + 1)

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

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

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

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

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

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