6(x+2)+(18y-18)=180

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Solution for 6(x+2)+(18y-18)=180 equation: 


Simplifying
6(x + 2) + (18y + -18) = 180

Reorder the terms:
6(2 + x) + (18y + -18) = 180
(2 * 6 + x * 6) + (18y + -18) = 180
(12 + 6x) + (18y + -18) = 180

Reorder the terms:
12 + 6x + (-18 + 18y) = 180

Remove parenthesis around (-18 + 18y)
12 + 6x + -18 + 18y = 180

Reorder the terms:
12 + -18 + 6x + 18y = 180

Combine like terms: 12 + -18 = -6
-6 + 6x + 18y = 180

Solving
-6 + 6x + 18y = 180

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6x + 6 + 18y = 180 + 6

Reorder the terms:
-6 + 6 + 6x + 18y = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 6x + 18y = 180 + 6
6x + 18y = 180 + 6

Combine like terms: 180 + 6 = 186
6x + 18y = 186

Add '-18y' to each side of the equation.
6x + 18y + -18y = 186 + -18y

Combine like terms: 18y + -18y = 0
6x + 0 = 186 + -18y
6x = 186 + -18y

Divide each side by '6'.
x = 31 + -3y

Simplifying
x = 31 + -3y

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