The examples provided by Mr. Schlenker take advantage of charge balancing whenever possible. This only works if you have IONS as a part of the equation. The total charge of all reactants must be the same as the total charge of all products. This is often a quicker method of determining H1+ and OH1- than what is shown in the text book.
example #1 - neutral compounds (20)
example #2 - ionic (24)