6(-6x+6+4(x+1))=6x+2

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Solution for 6(-6x+6+4(x+1))=6x+2 equation: 


Simplifying
6(-6x + 6 + 4(x + 1)) = 6x + 2

Reorder the terms:
6(-6x + 6 + 4(1 + x)) = 6x + 2
6(-6x + 6 + (1 * 4 + x * 4)) = 6x + 2
6(-6x + 6 + (4 + 4x)) = 6x + 2

Reorder the terms:
6(6 + 4 + -6x + 4x) = 6x + 2

Combine like terms: 6 + 4 = 10
6(10 + -6x + 4x) = 6x + 2

Combine like terms: -6x + 4x = -2x
6(10 + -2x) = 6x + 2
(10 * 6 + -2x * 6) = 6x + 2
(60 + -12x) = 6x + 2

Reorder the terms:
60 + -12x = 2 + 6x

Solving
60 + -12x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
60 + -12x + -6x = 2 + 6x + -6x

Combine like terms: -12x + -6x = -18x
60 + -18x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
60 + -18x = 2 + 0
60 + -18x = 2

Add '-60' to each side of the equation.
60 + -60 + -18x = 2 + -60

Combine like terms: 60 + -60 = 0
0 + -18x = 2 + -60
-18x = 2 + -60

Combine like terms: 2 + -60 = -58
-18x = -58

Divide each side by '-18'.
x = 3.222222222

Simplifying
x = 3.222222222

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