xa+b=ba+x

Solution for xa+b=ba+x equation:

Simplifying
xa + b = ba + x

Solving
ax + b = ab + x

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.