4(2x+3y)+2(5y+3x)=0

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Solution for 4(2x+3y)+2(5y+3x)=0 equation: 


Simplifying
4(2x + 3y) + 2(5y + 3x) = 0
(2x * 4 + 3y * 4) + 2(5y + 3x) = 0
(8x + 12y) + 2(5y + 3x) = 0

Reorder the terms:
8x + 12y + 2(3x + 5y) = 0
8x + 12y + (3x * 2 + 5y * 2) = 0
8x + 12y + (6x + 10y) = 0

Reorder the terms:
8x + 6x + 12y + 10y = 0

Combine like terms: 8x + 6x = 14x
14x + 12y + 10y = 0

Combine like terms: 12y + 10y = 22y
14x + 22y = 0

Solving
14x + 22y = 0

Solving for variable 'x'.

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

Add '-22y' to each side of the equation.
14x + 22y + -22y = 0 + -22y

Combine like terms: 22y + -22y = 0
14x + 0 = 0 + -22y
14x = 0 + -22y
Remove the zero:
14x = -22y

Divide each side by '14'.
x = -1.571428571y

Simplifying
x = -1.571428571y

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