ax+1=x+a

Solution for ax+1=x+a equation:

Simplifying
ax + 1 = x + a

Reorder the terms:
1 + ax = x + a

Reorder the terms:
1 + ax = a + x

Solving
1 + ax = a + x

Solving for variable 'a'.

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

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

Combine like terms: a + -1a = 0
1 + -1a + ax = 0 + x
1 + -1a + ax = x

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

Reorder the terms:
1 + -1 + -1a + ax = -1 + x

Combine like terms: 1 + -1 = 0
0 + -1a + ax = -1 + x
-1a + ax = -1 + x

Reorder the terms:
1 + -1a + ax + -1x = -1 + x + 1 + -1x

Reorder the terms:
1 + -1a + ax + -1x = -1 + 1 + x + -1x

Combine like terms: -1 + 1 = 0
1 + -1a + ax + -1x = 0 + x + -1x
1 + -1a + ax + -1x = x + -1x

Combine like terms: x + -1x = 0
1 + -1a + ax + -1x = 0

The solution to this equation could not be determined.