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

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


Simplifying
6 + (x + -2) = 2 + -1(x + -6)

Reorder the terms:
6 + (-2 + x) = 2 + -1(x + -6)

Remove parenthesis around (-2 + x)
6 + -2 + x = 2 + -1(x + -6)

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

Reorder the terms:
4 + x = 2 + -1(-6 + x)
4 + x = 2 + (-6 * -1 + x * -1)
4 + x = 2 + (6 + -1x)

Combine like terms: 2 + 6 = 8
4 + x = 8 + -1x

Solving
4 + x = 8 + -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 + x + x = 8 + -1x + x

Combine like terms: x + x = 2x
4 + 2x = 8 + -1x + x

Combine like terms: -1x + x = 0
4 + 2x = 8 + 0
4 + 2x = 8

Add '-4' to each side of the equation.
4 + -4 + 2x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 8 + -4
2x = 8 + -4

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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