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

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


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

Reorder the terms:
-6(-2 + 2x) + 2x = 2(x + 1)
(-2 * -6 + 2x * -6) + 2x = 2(x + 1)
(12 + -12x) + 2x = 2(x + 1)

Combine like terms: -12x + 2x = -10x
12 + -10x = 2(x + 1)

Reorder the terms:
12 + -10x = 2(1 + x)
12 + -10x = (1 * 2 + x * 2)
12 + -10x = (2 + 2x)

Solving
12 + -10x = 2 + 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.
12 + -10x + -2x = 2 + 2x + -2x

Combine like terms: -10x + -2x = -12x
12 + -12x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -12x = 2 + 0
12 + -12x = 2

Add '-12' to each side of the equation.
12 + -12 + -12x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -12x = 2 + -12
-12x = 2 + -12

Combine like terms: 2 + -12 = -10
-12x = -10

Divide each side by '-12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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