6(x+2)=2x-8

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Solution for 6(x+2)=2x-8 equation:


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

Reorder the terms:
6(2 + x) = 2x + -8
(2 * 6 + x * 6) = 2x + -8
(12 + 6x) = 2x + -8

Reorder the terms:
12 + 6x = -8 + 2x

Solving
12 + 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.
12 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = -8 + 0
12 + 4x = -8

Add '-12' to each side of the equation.
12 + -12 + 4x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = -8 + -12
4x = -8 + -12

Combine like terms: -8 + -12 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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