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

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


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

Reorder the terms:
6x + 4y + 3(x + y) = 0
6x + 4y + (x * 3 + y * 3) = 0
6x + 4y + (3x + 3y) = 0

Reorder the terms:
6x + 3x + 4y + 3y = 0

Combine like terms: 6x + 3x = 9x
9x + 4y + 3y = 0

Combine like terms: 4y + 3y = 7y
9x + 7y = 0

Solving
9x + 7y = 0

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
9x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
9x + 0 = 0 + -7y
9x = 0 + -7y
Remove the zero:
9x = -7y

Divide each side by '9'.
x = -0.7777777778y

Simplifying
x = -0.7777777778y

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