(8x-19y)+(33x+60y)=0

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Solution for (8x-19y)+(33x+60y)=0 equation:


Simplifying
(8x + -19y) + (33x + 60y) = 0

Remove parenthesis around (8x + -19y)
8x + -19y + (33x + 60y) = 0

Remove parenthesis around (33x + 60y)
8x + -19y + 33x + 60y = 0

Reorder the terms:
8x + 33x + -19y + 60y = 0

Combine like terms: 8x + 33x = 41x
41x + -19y + 60y = 0

Combine like terms: -19y + 60y = 41y
41x + 41y = 0

Solving
41x + 41y = 0

Solving for variable 'x'.

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

Add '-41y' to each side of the equation.
41x + 41y + -41y = 0 + -41y

Combine like terms: 41y + -41y = 0
41x + 0 = 0 + -41y
41x = 0 + -41y
Remove the zero:
41x = -41y

Divide each side by '41'.
x = -1y

Simplifying
x = -1y

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