4(x+5y)+3(x+6y)+6(3x+8y)=

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Solution for 4(x+5y)+3(x+6y)+6(3x+8y)= equation:


Simplifying
4(x + 5y) + 3(x + 6y) + 6(3x + 8y) = 0
(x * 4 + 5y * 4) + 3(x + 6y) + 6(3x + 8y) = 0
(4x + 20y) + 3(x + 6y) + 6(3x + 8y) = 0
4x + 20y + (x * 3 + 6y * 3) + 6(3x + 8y) = 0
4x + 20y + (3x + 18y) + 6(3x + 8y) = 0
4x + 20y + 3x + 18y + (3x * 6 + 8y * 6) = 0
4x + 20y + 3x + 18y + (18x + 48y) = 0

Reorder the terms:
4x + 3x + 18x + 20y + 18y + 48y = 0

Combine like terms: 4x + 3x = 7x
7x + 18x + 20y + 18y + 48y = 0

Combine like terms: 7x + 18x = 25x
25x + 20y + 18y + 48y = 0

Combine like terms: 20y + 18y = 38y
25x + 38y + 48y = 0

Combine like terms: 38y + 48y = 86y
25x + 86y = 0

Solving
25x + 86y = 0

Solving for variable 'x'.

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

Add '-86y' to each side of the equation.
25x + 86y + -86y = 0 + -86y

Combine like terms: 86y + -86y = 0
25x + 0 = 0 + -86y
25x = 0 + -86y
Remove the zero:
25x = -86y

Divide each side by '25'.
x = -3.44y

Simplifying
x = -3.44y

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