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

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


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

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

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

Remove parenthesis around (-1 + 1x)
x + -1(-2x + -1 + 1x + -1(1 + -3x)) = 2
x + -1(-2x + -1 + 1x + (1 * -1 + -3x * -1)) = 2
x + -1(-2x + -1 + 1x + (-1 + 3x)) = 2

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

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

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

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

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

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

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

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

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

Solving
-1x = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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