50(x+y)=75(x-y)

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Solution for 50(x+y)=75(x-y) equation: 


Simplifying
50(x + y) = 75(x + -1y)
(x * 50 + y * 50) = 75(x + -1y)
(50x + 50y) = 75(x + -1y)
50x + 50y = (x * 75 + -1y * 75)
50x + 50y = (75x + -75y)

Solving
50x + 50y = 75x + -75y

Solving for variable 'x'.

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

Add '-75x' to each side of the equation.
50x + -75x + 50y = 75x + -75x + -75y

Combine like terms: 50x + -75x = -25x
-25x + 50y = 75x + -75x + -75y

Combine like terms: 75x + -75x = 0
-25x + 50y = 0 + -75y
-25x + 50y = -75y

Add '-50y' to each side of the equation.
-25x + 50y + -50y = -75y + -50y

Combine like terms: 50y + -50y = 0
-25x + 0 = -75y + -50y
-25x = -75y + -50y

Combine like terms: -75y + -50y = -125y
-25x = -125y

Divide each side by '-25'.
x = 5y

Simplifying
x = 5y

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