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

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


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

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

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

Solving
4 + 6x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 6x + -2x = -8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 4x = -8 + 0
4 + 4x = -8

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

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

Combine like terms: -8 + -4 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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