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

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


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

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

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

Reorder the terms:
3 + -1x = -2 + 4x

Solving
3 + -1x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -1x + -4x = -2 + 4x + -4x

Combine like terms: -1x + -4x = -5x
3 + -5x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -5x = -2 + 0
3 + -5x = -2

Add '-3' to each side of the equation.
3 + -3 + -5x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -2 + -3
-5x = -2 + -3

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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