2(x+3)=3(2x+2)-4x

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Solution for 2(x+3)=3(2x+2)-4x equation: 


Simplifying
2(x + 3) = 3(2x + 2) + -4x

Reorder the terms:
2(3 + x) = 3(2x + 2) + -4x
(3 * 2 + x * 2) = 3(2x + 2) + -4x
(6 + 2x) = 3(2x + 2) + -4x

Reorder the terms:
6 + 2x = 3(2 + 2x) + -4x
6 + 2x = (2 * 3 + 2x * 3) + -4x
6 + 2x = (6 + 6x) + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = 6 + 2x

Add '-6' to each side of the equation.
6 + -6 + 2x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 2x = 6 + -6 + 2x
2x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
2x = 0 + 2x
2x = 2x

Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
0 = 2x + -2x

Combine like terms: 2x + -2x = 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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