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

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


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

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

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

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

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

Remove parenthesis around (1x)
-4 = -1x + 2 + -1 * 1x

Multiply -1 * 1
-4 = -1x + 2 + -1x

Reorder the terms:
-4 = 2 + -1x + -1x

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

Solving
-4 = 2 + -2x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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