Because if it is not balanced it is not a true equation.
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When rearranging an equation whatever is done on its right hand side must be repeated on its left hand side in order to keep the equation in balance.
Always keep the equation in balance inasmuch that what is done on the RHS must be done on the LHS of the equation.
When solving equations remember that whatever operations are performed on the LHS of the equation must be performed on its RHS to keep the equation in balance.
The simple rule to follow is that whatever is done on the Left Hand Side of the equation must be repeated on the Right Hand Side of the equation to keep it in 'balance'
Equality, equation.