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

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


Simplifying
2(3x + 4y) + 3(5x + 2y) = 0
(3x * 2 + 4y * 2) + 3(5x + 2y) = 0
(6x + 8y) + 3(5x + 2y) = 0
6x + 8y + (5x * 3 + 2y * 3) = 0
6x + 8y + (15x + 6y) = 0

Reorder the terms:
6x + 15x + 8y + 6y = 0

Combine like terms: 6x + 15x = 21x
21x + 8y + 6y = 0

Combine like terms: 8y + 6y = 14y
21x + 14y = 0

Solving
21x + 14y = 0

Solving for variable 'x'.

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

Add '-14y' to each side of the equation.
21x + 14y + -14y = 0 + -14y

Combine like terms: 14y + -14y = 0
21x + 0 = 0 + -14y
21x = 0 + -14y
Remove the zero:
21x = -14y

Divide each side by '21'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y

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