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

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


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

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

Combine like terms: -2x + 2x = 0
12 + 3x = -12 + 0
12 + 3x = -12

Solving
12 + 3x = -12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + 3x = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -12 + -12
3x = -12 + -12

Combine like terms: -12 + -12 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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