4(x+3)=2(x+6)+2x

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Solution for 4(x+3)=2(x+6)+2x equation: 


Simplifying
4(x + 3) = 2(x + 6) + 2x

Reorder the terms:
4(3 + x) = 2(x + 6) + 2x
(3 * 4 + x * 4) = 2(x + 6) + 2x
(12 + 4x) = 2(x + 6) + 2x

Reorder the terms:
12 + 4x = 2(6 + x) + 2x
12 + 4x = (6 * 2 + x * 2) + 2x
12 + 4x = (12 + 2x) + 2x

Combine like terms: 2x + 2x = 4x
12 + 4x = 12 + 4x

Add '-12' to each side of the equation.
12 + -12 + 4x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
0 + 4x = 12 + -12 + 4x
4x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
4x = 0 + 4x
4x = 4x

Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
0 = 4x + -4x

Combine like terms: 4x + -4x = 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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