a*(b-c)=(a-b)-c

Solution for a*(b-c)=(a-b)-c equation:

Simplifying
a(b + -1c) = (a + -1b) + -1c
(b * a + -1c * a) = (a + -1b) + -1c
(ab + -1ac) = (a + -1b) + -1c

Remove parenthesis around (a + -1b)
ab + -1ac = a + -1b + -1c

Solving
ab + -1ac = a + -1b + -1c

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.
ab + -1a + -1ac = a + -1b + -1a + -1c

Reorder the terms:
-1a + ab + -1ac = a + -1b + -1a + -1c

Reorder the terms:
-1a + ab + -1ac = a + -1a + -1b + -1c

Combine like terms: a + -1a = 0
-1a + ab + -1ac = 0 + -1b + -1c
-1a + ab + -1ac = -1b + -1c

Reorder the terms:
-1a + ab + -1ac + b + c = -1b + b + -1c + c

Combine like terms: -1b + b = 0
-1a + ab + -1ac + b + c = 0 + -1c + c
-1a + ab + -1ac + b + c = -1c + c

Combine like terms: -1c + c = 0
-1a + ab + -1ac + b + c = 0

The solution to this equation could not be determined.