3(x+y)+4(x+2y)=0

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Solution for 3(x+y)+4(x+2y)=0 equation: 


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

Reorder the terms:
3x + 4x + 3y + 8y = 0

Combine like terms: 3x + 4x = 7x
7x + 3y + 8y = 0

Combine like terms: 3y + 8y = 11y
7x + 11y = 0

Solving
7x + 11y = 0

Solving for variable 'x'.

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

Add '-11y' to each side of the equation.
7x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
7x + 0 = 0 + -11y
7x = 0 + -11y
Remove the zero:
7x = -11y

Divide each side by '7'.
x = -1.571428571y

Simplifying
x = -1.571428571y

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