(6x+2y)+(3x-18)=12

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Solution for (6x+2y)+(3x-18)=12 equation:


Simplifying
(6x + 2y) + (3x + -18) = 12

Remove parenthesis around (6x + 2y)
6x + 2y + (3x + -18) = 12

Reorder the terms:
6x + 2y + (-18 + 3x) = 12

Remove parenthesis around (-18 + 3x)
6x + 2y + -18 + 3x = 12

Reorder the terms:
-18 + 6x + 3x + 2y = 12

Combine like terms: 6x + 3x = 9x
-18 + 9x + 2y = 12

Solving
-18 + 9x + 2y = 12

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 9x + 18 + 2y = 12 + 18

Reorder the terms:
-18 + 18 + 9x + 2y = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 9x + 2y = 12 + 18
9x + 2y = 12 + 18

Combine like terms: 12 + 18 = 30
9x + 2y = 30

Add '-2y' to each side of the equation.
9x + 2y + -2y = 30 + -2y

Combine like terms: 2y + -2y = 0
9x + 0 = 30 + -2y
9x = 30 + -2y

Divide each side by '9'.
x = 3.333333333 + -0.2222222222y

Simplifying
x = 3.333333333 + -0.2222222222y

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