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

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


Simplifying
2(3x + 2y) + -3(-2x + 3y) = 0
(3x * 2 + 2y * 2) + -3(-2x + 3y) = 0
(6x + 4y) + -3(-2x + 3y) = 0
6x + 4y + (-2x * -3 + 3y * -3) = 0
6x + 4y + (6x + -9y) = 0

Reorder the terms:
6x + 6x + 4y + -9y = 0

Combine like terms: 6x + 6x = 12x
12x + 4y + -9y = 0

Combine like terms: 4y + -9y = -5y
12x + -5y = 0

Solving
12x + -5y = 0

Solving for variable 'x'.

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

Add '5y' to each side of the equation.
12x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
12x + 0 = 0 + 5y
12x = 0 + 5y
Remove the zero:
12x = 5y

Divide each side by '12'.
x = 0.4166666667y

Simplifying
x = 0.4166666667y

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