(x-b)a=b-x

Solution for (x-b)a=b-x equation:

Simplifying
(x + -1b) * a = b + -1x

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

Reorder the terms for easier multiplication:
a(-1b + x) = b + -1x
(-1b * a + x * a) = b + -1x
(-1ab + ax) = b + -1x

Solving
-1ab + ax = b + -1x

Solving for variable 'a'.

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

Reorder the terms:
-1ab + ax + -1b + x = b + -1b + -1x + x

Combine like terms: b + -1b = 0
-1ab + ax + -1b + x = 0 + -1x + x
-1ab + ax + -1b + x = -1x + x

Combine like terms: -1x + x = 0
-1ab + ax + -1b + x = 0

The solution to this equation could not be determined.