sa+b=s+r

Solution for sa+b=s+r equation:

Simplifying
sa + b = s + r

Reorder the terms:
as + b = r + s

Solving
as + b = r + s

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.
as + b + -1b = r + -1b + s

Combine like terms: b + -1b = 0
as + 0 = r + -1b + s
as = r + -1b + s

Reorder the terms:
as = -1b + r + s

Divide each side by 's'.
a = -1bs-1 + rs-1 + 1

Simplifying
a = -1bs-1 + rs-1 + 1

Reorder the terms:
a = 1 + -1bs-1 + rs-1