(x+5)y=x+5

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

Simplifying
(x + 5) * y = x + 5

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

Reorder the terms for easier multiplication:
y(5 + x) = x + 5
(5 * y + x * y) = x + 5

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

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

Solving
xy + 5y = 5 + 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 = 5 + x + -1x

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.