5+(-2x)+(x)=-3x-(-x)+8

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Solution for 5+(-2x)+(x)=-3x-(-x)+8 equation:


Simplifying
5 + (-2x) + (x) = -3x + -1(-1x) + 8
5 + (-2x) + x = -3x + -1(-1x) + 8

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

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

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

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

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

Solving
5 + -1x = 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 + -1x + 2x = 8 + -2x + 2x

Combine like terms: -1x + 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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