Let's assume that the number of video games in Matthew's collection is x.
Since Anthony has 5 times the number of video games as Matthew, Anthony has 5x video games.
The total number of video games in both collections is the sum of the number of video games in Matthew's collection and Anthony's collection, which is x + 5x = 72.
Combining like terms, we get 6x = 72
Dividing both sides by 6, we find that x, the number of video games in Matthew's collection, is 72/6 = <<72/6=12>>12. Answer: \boxed{12}.
Matthew and Anthony each have a video game collection. The number of video games in Matthew's collection can be represented by x. The number of video games in Anthony's collection is 5 times the number in Matthew's collection. The total number of video games in both collections is 72. What is x the number of video games in matthews collection
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