(a-1)*x+(x-1)*a=a-2

Solution for (a-1)*x+(x-1)*a=a-2 equation:

Simplifying
(a + -1) * x + (x + -1) * a = a + -2

Reorder the terms:
(-1 + a) * x + (x + -1) * a = a + -2

Reorder the terms for easier multiplication:
x(-1 + a) + (x + -1) * a = a + -2
(-1 * x + a * x) + (x + -1) * a = a + -2

Reorder the terms:
(ax + -1x) + (x + -1) * a = a + -2
(ax + -1x) + (x + -1) * a = a + -2

Reorder the terms:
ax + -1x + (-1 + x) * a = a + -2

Reorder the terms for easier multiplication:
ax + -1x + a(-1 + x) = a + -2
ax + -1x + (-1 * a + x * a) = a + -2
ax + -1x + (-1a + ax) = a + -2

Reorder the terms:
-1a + ax + ax + -1x = a + -2

Combine like terms: ax + ax = 2ax
-1a + 2ax + -1x = a + -2

Reorder the terms:
-1a + 2ax + -1x = -2 + a

Solving
-1a + 2ax + -1x = -2 + 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.
-1a + 2ax + -1a + -1x = -2 + a + -1a

Reorder the terms:
-1a + -1a + 2ax + -1x = -2 + a + -1a

Combine like terms: -1a + -1a = -2a
-2a + 2ax + -1x = -2 + a + -1a

Combine like terms: a + -1a = 0
-2a + 2ax + -1x = -2 + 0
-2a + 2ax + -1x = -2

Add 'x' to each side of the equation.
-2a + 2ax + -1x + x = -2 + x

Combine like terms: -1x + x = 0
-2a + 2ax + 0 = -2 + x
-2a + 2ax = -2 + x

Reorder the terms:
2 + -2a + 2ax + -1x = -2 + x + 2 + -1x

Reorder the terms:
2 + -2a + 2ax + -1x = -2 + 2 + x + -1x

Combine like terms: -2 + 2 = 0
2 + -2a + 2ax + -1x = 0 + x + -1x
2 + -2a + 2ax + -1x = x + -1x

Combine like terms: x + -1x = 0
2 + -2a + 2ax + -1x = 0

The solution to this equation could not be determined.