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

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


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

Reorder the terms:
2(4 + 2x) = 3(x + 2) + x + 2
(4 * 2 + 2x * 2) = 3(x + 2) + x + 2
(8 + 4x) = 3(x + 2) + x + 2

Reorder the terms:
8 + 4x = 3(2 + x) + x + 2
8 + 4x = (2 * 3 + x * 3) + x + 2
8 + 4x = (6 + 3x) + x + 2

Reorder the terms:
8 + 4x = 6 + 2 + 3x + x

Combine like terms: 6 + 2 = 8
8 + 4x = 8 + 3x + x

Combine like terms: 3x + x = 4x
8 + 4x = 8 + 4x

Add '-8' to each side of the equation.
8 + -8 + 4x = 8 + -8 + 4x

Combine like terms: 8 + -8 = 0
0 + 4x = 8 + -8 + 4x
4x = 8 + -8 + 4x

Combine like terms: 8 + -8 = 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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