5+(-x)-x+(-x)=-x+(-x)+(-x)-(-x)+8

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Solution for 5+(-x)-x+(-x)=-x+(-x)+(-x)-(-x)+8 equation:


Simplifying
5 + (-1x) + -1x + (-1x) = -1x + (-1x) + (-1x) + -1(-1x) + 8

Combine like terms: (-1x) + -1x = -2x
5 + -2x + (-1x) = -1x + (-1x) + (-1x) + -1(-1x) + 8

Combine like terms: -2x + (-1x) = -3x
5 + -3x = -1x + (-1x) + (-1x) + -1(-1x) + 8

Remove parenthesis around (-1x)
5 + -3x = -1x + (-1x) + (-1x) + -1 * -1x + 8

Multiply -1 * -1
5 + -3x = -1x + (-1x) + (-1x) + 1x + 8

Reorder the terms:
5 + -3x = 8 + -1x + (-1x) + (-1x) + 1x

Combine like terms: -1x + (-1x) = -2x
5 + -3x = 8 + -2x + (-1x) + 1x

Combine like terms: -2x + (-1x) = -3x
5 + -3x = 8 + -3x + 1x

Combine like terms: -3x + 1x = -2x
5 + -3x = 8 + -2x

Solving
5 + -3x = 8 + -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.
5 + -3x + 2x = 8 + -2x + 2x

Combine like terms: -3x + 2x = -1x
5 + -1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + -1x = 8 + 0
5 + -1x = 8

Add '-5' to each side of the equation.
5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 8 + -5
-1x = 8 + -5

Combine like terms: 8 + -5 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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