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

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Solution for -2(x-1)+4x=-(x+1) equation:


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

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

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

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

Solving
2 + 2x = -1 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
2 + 3x = -1 + 0
2 + 3x = -1

Add '-2' to each side of the equation.
2 + -2 + 3x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -1 + -2
3x = -1 + -2

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

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

Simplifying
x = -1

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