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

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


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

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

Combine like terms: 2x + 2x = 4x
4 + 4x = 2(x + 6) + 4x

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

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

Solving
4 + 4x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 4x + -6x = 12 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -2x = 12 + 0
4 + -2x = 12

Add '-4' to each side of the equation.
4 + -4 + -2x = 12 + -4

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

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

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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