ax+b=c-b

Solution for ax+b=c-b equation:

Simplifying
ax + b = c + -1b

Reorder the terms:
ax + b = -1b + c

Solving
ax + b = -1b + c

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax + b + -1b = -1b + -1b + c

Combine like terms: b + -1b = 0
ax + 0 = -1b + -1b + c
ax = -1b + -1b + c

Combine like terms: -1b + -1b = -2b
ax = -2b + c

Divide each side by 'x'.
a = -2bx-1 + cx-1

Simplifying
a = -2bx-1 + cx-1