In the 1st figure, the left hand side (LHS) and the right hand side (RHS) of the weighing machine are equal to each other. If we add 2 on the RHS, the balance looks like figure 2. What should we do to equalize LHS and RHS again?

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Solution

When the weighing machine was balanced, LHS = RHS

⇒ 13x + 5 = 31

New RHS = 31 + 2 = 33

If +2 appears on the RHS of the weighing machine, to balance the machine again, we can add 2 to the LHS of the machine, such that LHS = RHS.
Then LHS = (13x + 5) + 2 = 13x + 7

Let us see what happens.The machine is balanced again.

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