3(x+4)+2x=-3(x-4)+8x

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Solution for 3(x+4)+2x=-3(x-4)+8x equation: 


Simplifying
3(x + 4) + 2x = -3(x + -4) + 8x

Reorder the terms:
3(4 + x) + 2x = -3(x + -4) + 8x
(4 * 3 + x * 3) + 2x = -3(x + -4) + 8x
(12 + 3x) + 2x = -3(x + -4) + 8x

Combine like terms: 3x + 2x = 5x
12 + 5x = -3(x + -4) + 8x

Reorder the terms:
12 + 5x = -3(-4 + x) + 8x
12 + 5x = (-4 * -3 + x * -3) + 8x
12 + 5x = (12 + -3x) + 8x

Combine like terms: -3x + 8x = 5x
12 + 5x = 12 + 5x

Add '-12' to each side of the equation.
12 + -12 + 5x = 12 + -12 + 5x

Combine like terms: 12 + -12 = 0
0 + 5x = 12 + -12 + 5x
5x = 12 + -12 + 5x

Combine like terms: 12 + -12 = 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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