y(x-1)=x

Solution for y(x-1)=x equation:

Simplifying
y(x + -1) = x

Reorder the terms:
y(-1 + x) = x
(-1 * y + x * y) = x

Reorder the terms:
(xy + -1y) = x
(xy + -1y) = x

Solving
xy + -1y = 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 + -1y = x + -1x

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

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

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

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

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

The solution to this equation could not be determined.