xa-b=x-ba

Solution for xa-b=x-ba equation:

Simplifying
xa + -1b = x + -1ba

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

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

Solving for variable 'a'.

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

Add 'ab' to each side of the equation.
ax + ab + -1b = -1ab + ab + x

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

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

Add 'b' to each side of the equation.
ab + ax + -1b + b = b + x

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

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

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

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

The solution to this equation could not be determined.