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

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


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

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

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

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

Combine like terms: 4 + 12 = 16
16 + 2x + 2x = 2(2x + -2) + 2(x + 4)

Combine like terms: 2x + 2x = 4x
16 + 4x = 2(2x + -2) + 2(x + 4)

Reorder the terms:
16 + 4x = 2(-2 + 2x) + 2(x + 4)
16 + 4x = (-2 * 2 + 2x * 2) + 2(x + 4)
16 + 4x = (-4 + 4x) + 2(x + 4)

Reorder the terms:
16 + 4x = -4 + 4x + 2(4 + x)
16 + 4x = -4 + 4x + (4 * 2 + x * 2)
16 + 4x = -4 + 4x + (8 + 2x)

Reorder the terms:
16 + 4x = -4 + 8 + 4x + 2x

Combine like terms: -4 + 8 = 4
16 + 4x = 4 + 4x + 2x

Combine like terms: 4x + 2x = 6x
16 + 4x = 4 + 6x

Solving
16 + 4x = 4 + 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.
16 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
16 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -2x = 4 + 0
16 + -2x = 4

Add '-16' to each side of the equation.
16 + -16 + -2x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 4 + -16
-2x = 4 + -16

Combine like terms: 4 + -16 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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