2(x+2)=2(x-2)+x

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


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

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

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

Combine like terms: 2x + x = 3x
4 + 2x = -4 + 3x

Solving
4 + 2x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 2x + -3x = -4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = -4 + 0
4 + -1x = -4

Add '-4' to each side of the equation.
4 + -4 + -1x = -4 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -4 + -4
-1x = -4 + -4

Combine like terms: -4 + -4 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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