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

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Solution for X-(2+(x-(3x-1)))=2-x equation:


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

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

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

Combine like terms: x + -3x = -2x
X + -1(2 + (1 + -2x)) = 2 + -1x

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

Combine like terms: 2 + 1 = 3
X + -1(3 + -2x) = 2 + -1x
X + (3 * -1 + -2x * -1) = 2 + -1x
X + (-3 + 2x) = 2 + -1x

Reorder the terms:
-3 + X + 2x = 2 + -1x

Solving
-3 + X + 2x = 2 + -1x

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X + 3 + 2x = 2 + 3 + -1x

Reorder the terms:
-3 + 3 + X + 2x = 2 + 3 + -1x

Combine like terms: -3 + 3 = 0
0 + X + 2x = 2 + 3 + -1x
X + 2x = 2 + 3 + -1x

Combine like terms: 2 + 3 = 5
X + 2x = 5 + -1x

Add '-2x' to each side of the equation.
X + 2x + -2x = 5 + -1x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 5 + -1x + -2x
X = 5 + -1x + -2x

Combine like terms: -1x + -2x = -3x
X = 5 + -3x

Simplifying
X = 5 + -3x

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