(a-1)x=a-1

Solution for (a-1)x=a-1 equation:

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

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

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

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

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

Solving
ax + -1x = -1 + a

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.
ax + -1a + -1x = -1 + a + -1a

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

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

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

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