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

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


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

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

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

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

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

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

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

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

Solving
-8 + 8x = 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.
-8 + 8x + -1x = x + -1x

Combine like terms: 8x + -1x = 7x
-8 + 7x = x + -1x

Combine like terms: x + -1x = 0
-8 + 7x = 0

Add '8' to each side of the equation.
-8 + 8 + 7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 0 + 8
7x = 0 + 8

Combine like terms: 0 + 8 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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