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

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


Simplifying
4(2x + 3y) + 2(x + -3y) = 0
(2x * 4 + 3y * 4) + 2(x + -3y) = 0
(8x + 12y) + 2(x + -3y) = 0
8x + 12y + (x * 2 + -3y * 2) = 0
8x + 12y + (2x + -6y) = 0

Reorder the terms:
8x + 2x + 12y + -6y = 0

Combine like terms: 8x + 2x = 10x
10x + 12y + -6y = 0

Combine like terms: 12y + -6y = 6y
10x + 6y = 0

Solving
10x + 6y = 0

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
10x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
10x + 0 = 0 + -6y
10x = 0 + -6y
Remove the zero:
10x = -6y

Divide each side by '10'.
x = -0.6y

Simplifying
x = -0.6y

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