2(x+8)=4(x+4)-2x

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Solution for 2(x+8)=4(x+4)-2x equation: 


Simplifying
2(x + 8) = 4(x + 4) + -2x

Reorder the terms:
2(8 + x) = 4(x + 4) + -2x
(8 * 2 + x * 2) = 4(x + 4) + -2x
(16 + 2x) = 4(x + 4) + -2x

Reorder the terms:
16 + 2x = 4(4 + x) + -2x
16 + 2x = (4 * 4 + x * 4) + -2x
16 + 2x = (16 + 4x) + -2x

Combine like terms: 4x + -2x = 2x
16 + 2x = 16 + 2x

Add '-16' to each side of the equation.
16 + -16 + 2x = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
0 + 2x = 16 + -16 + 2x
2x = 16 + -16 + 2x

Combine like terms: 16 + -16 = 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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