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

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


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

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

Remove parenthesis around (-2 + 2x)
-2 + 2x + -1(6x + -6) = x

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

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

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

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

Solving
4 + -4x = x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
4 + -5x = 0

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

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

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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