Question

Sam had a total of 80 foreign stamps and local stamps combined. After giving away 1/3 of his foreign stamps and 10 local stamps, he had an equal number of foreign stamps and local stamps left. How many local stamps did he have in the beginning?
f+l = 80
2/3 f = l-10

so,

2/3(80-l) = l - 10
160-2l = 3l-30
190 = 5l
l = 38

check:
initially there were
38 local and 42 foreign
after removing 10 local and 14 foreign, there were 28 of each.
Where do you get 2/3rds from
The 2/3rds come from how much is left after 2/3rds are gone.
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