-(x-2)+(x+2(3-x))=x

Solution for -(x-2)+(x+2(3-x))=x equation:

Simplifying
-1(x + -2) + (x + 2(3 + -1x)) = x

Reorder the terms:
-1(-2 + x) + (x + 2(3 + -1x)) = x
(-2 * -1 + x * -1) + (x + 2(3 + -1x)) = x
(2 + -1x) + (x + 2(3 + -1x)) = x
2 + -1x + (x + (3 * 2 + -1x * 2)) = x
2 + -1x + (x + (6 + -2x)) = x

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

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

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

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

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

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

Solving
8 + -2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -2x + -1x = x + -1x

Combine like terms: -2x + -1x = -3x
8 + -3x = x + -1x

Combine like terms: x + -1x = 0
8 + -3x = 0

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667