4(x+2)=2x-6

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


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

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

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

Solving
8 + 4x = -6 + 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.
8 + 4x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 2x = -6 + 0
8 + 2x = -6

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

Combine like terms: 8 + -8 = 0
0 + 2x = -6 + -8
2x = -6 + -8

Combine like terms: -6 + -8 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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