Question

Solve for x rx+h=sx-k

Answer 1

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

The equation solved for x is $x = \frac{-k - h}{r - s }$