y(x-5)=x

Solution for y(x-5)=x equation:

Simplifying
y(x + -5) = x

Reorder the terms:
y(-5 + x) = x
(-5 * y + x * y) = x

Reorder the terms:
(xy + -5y) = x
(xy + -5y) = x

Solving
xy + -5y = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
xy + -1x + -5y = x + -1x

Reorder the terms:
-1x + xy + -5y = x + -1x

Combine like terms: x + -1x = 0
-1x + xy + -5y = 0

Add '5y' to each side of the equation.
-1x + xy + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
-1x + xy + 0 = 0 + 5y
-1x + xy = 0 + 5y
Remove the zero:
-1x + xy = 5y

Combine like terms: 5y + -5y = 0
-1x + xy + -5y = 0

The solution to this equation could not be determined.