-2(x-1)=2x-6

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Solution for -2(x-1)=2x-6 equation:


Simplifying
-2(x + -1) = 2x + -6

Reorder the terms:
-2(-1 + x) = 2x + -6
(-1 * -2 + x * -2) = 2x + -6
(2 + -2x) = 2x + -6

Reorder the terms:
2 + -2x = -6 + 2x

Solving
2 + -2x = -6 + 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.
2 + -2x + -2x = -6 + 2x + -2x

Combine like terms: -2x + -2x = -4x
2 + -4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -4x = -6 + 0
2 + -4x = -6

Add '-2' to each side of the equation.
2 + -2 + -4x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -6 + -2
-4x = -6 + -2

Combine like terms: -6 + -2 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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