Lösung 2.2:3b
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First, we move all the terms over to the left-hand side,
Then, we multiply the top and bottom of all three terms by appropriate factors so that they have the same common denominator, in the following way,
and so that we can rewrite the left-hand side giving
We expand the numerator
and simplify
This equation is satisfied when the numerator is zero (provided the denominator is not also zero) and this happens when
which gives \displaystyle x=7/5\,.
It can easily happen that we calculate incorrectly, so we check that the answer \displaystyle x=7/5 satisfies the equation,
