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

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


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

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

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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