A balanced lever has two weights on it, the first with mass #4 kg # and the second with mass #32 kg#. If the first weight is # 5 m# from the fulcrum, how far is the second weight from the fulcrum?
The way to compare the two sides for 'Equilibrium' (balanced) is to compare 'moment arms' using force times distance
So we end up with
Divide both sides by 4 giving: