a(x+b)=cx-b

Solution for a(x+b)=cx-b equation:

Simplifying
a(x + b) = cx + -1b

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

Reorder the terms:
ab + ax = -1b + cx

Solving
ab + ax = -1b + cx

Solving for variable 'a'.

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

Reorder the terms:
ab + ax + b + -1cx = -1b + b + cx + -1cx

Combine like terms: -1b + b = 0
ab + ax + b + -1cx = 0 + cx + -1cx
ab + ax + b + -1cx = cx + -1cx

Combine like terms: cx + -1cx = 0
ab + ax + b + -1cx = 0

The solution to this equation could not be determined.