a(x-1)=c(1-x)

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

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

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

Solving
-1a + ax = 1c + -1cx

Solving for variable 'a'.

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

Reorder the terms:
-1a + ax + -1c + cx = 1c + -1c + -1cx + cx

Combine like terms: 1c + -1c = 0
-1a + ax + -1c + cx = 0 + -1cx + cx
-1a + ax + -1c + cx = -1cx + cx

Combine like terms: -1cx + cx = 0
-1a + ax + -1c + cx = 0

The solution to this equation could not be determined.