We need to find the amount of cards Tom has.
The number of cards Tom has is 434.
Let the number of baseball cards Tom has be [tex]x[/tex].
Neil has [tex]83[/tex] more baseball cards than Tom so
[tex]x+83[/tex] is the number of baseball cards that Neil has.
The number of baseball cards Neil has is [tex]517[/tex]
So,
[tex]x+83=517\\\Rightarrow x=517-83\\\Rightarrow x=434[/tex]
Hence, the number of baseball cards Tom has is 434.
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