What is x in rx+h=sx-k

-k-h/r-s

When solving the goal is to get x on one side and not x on the other.

rx + h = sx - k

rx - sx + h = -k                   < subtract sx from both sides

rx - sx = -k - h                   <subtract h from both sides

x (r - s) = -k -h                   <factor out x which is in both rx and sx

x = - k - h / r - s                 <divide by r-s on both sides