c(x+b)=a+x

Solution for c(x+b)=a+x equation:

Simplifying
c(x + b) = a + x

Reorder the terms:
c(b + x) = a + x
(b * c + x * c) = a + x
(bc + cx) = a + x

Solving
bc + cx = a + x

Solving for variable 'b'.

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

Add '-1cx' to each side of the equation.
bc + cx + -1cx = a + -1cx + x

Combine like terms: cx + -1cx = 0
bc + 0 = a + -1cx + x
bc = a + -1cx + x

Divide each side by 'c'.
b = ac-1 + -1x + c-1x

Simplifying
b = ac-1 + -1x + c-1x

Reorder the terms:
b = ac-1 + c-1x + -1x