7(x+5y)+3(x+5y)+5(3x+8y)=

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Solution for 7(x+5y)+3(x+5y)+5(3x+8y)= equation: 


Simplifying
7(x + 5y) + 3(x + 5y) + 5(3x + 8y) = 0
(x * 7 + 5y * 7) + 3(x + 5y) + 5(3x + 8y) = 0
(7x + 35y) + 3(x + 5y) + 5(3x + 8y) = 0
7x + 35y + (x * 3 + 5y * 3) + 5(3x + 8y) = 0
7x + 35y + (3x + 15y) + 5(3x + 8y) = 0
7x + 35y + 3x + 15y + (3x * 5 + 8y * 5) = 0
7x + 35y + 3x + 15y + (15x + 40y) = 0

Reorder the terms:
7x + 3x + 15x + 35y + 15y + 40y = 0

Combine like terms: 7x + 3x = 10x
10x + 15x + 35y + 15y + 40y = 0

Combine like terms: 10x + 15x = 25x
25x + 35y + 15y + 40y = 0

Combine like terms: 35y + 15y = 50y
25x + 50y + 40y = 0

Combine like terms: 50y + 40y = 90y
25x + 90y = 0

Solving
25x + 90y = 0

Solving for variable 'x'.

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

Add '-90y' to each side of the equation.
25x + 90y + -90y = 0 + -90y

Combine like terms: 90y + -90y = 0
25x + 0 = 0 + -90y
25x = 0 + -90y
Remove the zero:
25x = -90y

Divide each side by '25'.
x = -3.6y

Simplifying
x = -3.6y

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