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

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


Simplifying
2(2 + x) = 4 + -1(x + -2)
(2 * 2 + x * 2) = 4 + -1(x + -2)
(4 + 2x) = 4 + -1(x + -2)

Reorder the terms:
4 + 2x = 4 + -1(-2 + x)
4 + 2x = 4 + (-2 * -1 + x * -1)
4 + 2x = 4 + (2 + -1x)

Combine like terms: 4 + 2 = 6
4 + 2x = 6 + -1x

Solving
4 + 2x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 2x + x = 6 + -1x + x

Combine like terms: 2x + x = 3x
4 + 3x = 6 + -1x + x

Combine like terms: -1x + x = 0
4 + 3x = 6 + 0
4 + 3x = 6

Add '-4' to each side of the equation.
4 + -4 + 3x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 6 + -4
3x = 6 + -4

Combine like terms: 6 + -4 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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