3(4x+-2y)+2(x+3y)+2(2x+6y)=

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Solution for 3(4x+-2y)+2(x+3y)+2(2x+6y)= equation: 


Simplifying
3(4x + -2y) + 2(x + 3y) + 2(2x + 6y) = 0
(4x * 3 + -2y * 3) + 2(x + 3y) + 2(2x + 6y) = 0
(12x + -6y) + 2(x + 3y) + 2(2x + 6y) = 0
12x + -6y + (x * 2 + 3y * 2) + 2(2x + 6y) = 0
12x + -6y + (2x + 6y) + 2(2x + 6y) = 0
12x + -6y + 2x + 6y + (2x * 2 + 6y * 2) = 0
12x + -6y + 2x + 6y + (4x + 12y) = 0

Reorder the terms:
12x + 2x + 4x + -6y + 6y + 12y = 0

Combine like terms: 12x + 2x = 14x
14x + 4x + -6y + 6y + 12y = 0

Combine like terms: 14x + 4x = 18x
18x + -6y + 6y + 12y = 0

Combine like terms: -6y + 6y = 0
18x + 0 + 12y = 0
18x + 12y = 0

Solving
18x + 12y = 0

Solving for variable 'x'.

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

Add '-12y' to each side of the equation.
18x + 12y + -12y = 0 + -12y

Combine like terms: 12y + -12y = 0
18x + 0 = 0 + -12y
18x = 0 + -12y
Remove the zero:
18x = -12y

Divide each side by '18'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y

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