The pattern that we saw in the last reaction (2 of something on one side and 3 on the other) is VERY common and the solution is ALWAYS the same.
The side with 2 is multiplied by 3 and the side with 3 is multiplied by 2.
In “lazy speak” – when you have a 2 and 3, just "3 and 2 it".
Of course this idea works with any pair of numbers. If you have a 5 and 4, just 4 and 5 it. But beware, if you have a 2 and 4 you do NOT want to 4 and 2 it. You just want to double the 2.
We are always looking for the simplest whole number ratios.
There are a few other common patterns that are associated with particular types of reactions. Those will be dealt with later.
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