2(-x+5)+4x-x=2(-x)

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Solution for 2(-x+5)+4x-x=2(-x) equation:


Simplifying
2(-1x + 5) + 4x + -1x = 2(-1x)

Reorder the terms:
2(5 + -1x) + 4x + -1x = 2(-1x)
(5 * 2 + -1x * 2) + 4x + -1x = 2(-1x)
(10 + -2x) + 4x + -1x = 2(-1x)

Combine like terms: -2x + 4x = 2x
10 + 2x + -1x = 2(-1x)

Combine like terms: 2x + -1x = 1x
10 + 1x = 2(-1x)

Remove parenthesis around (-1x)
10 + 1x = 2 * -1x

Multiply 2 * -1
10 + 1x = -2x

Solving
10 + 1x = -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.
10 + 1x + 2x = -2x + 2x

Combine like terms: 1x + 2x = 3x
10 + 3x = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 3x = 0

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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