A uniform beam of length 10m is shown below and is simply supported at its left hand end (A) and at a point (B) 5m from A. It carries a vertically downward load of 12kN as shown below and is to carry a further vertically downward load of 12kN in such a position that the upward reactions at each support are equal. Ignore the weight of the beam and determine the position of the 12kN load to fulfil the given conditions