David S. answered 11/24/19
Experienced AP Chemistry/Physics Teacher (HS thru College)
There are a few reasons why it is written F2 + 2 e- --> 2F- rather than F2 --> 2 F- + 1 e-.
1) As you correctly identified, fluorine is being reduced (ox # from 0 to -1). That means it gains an electron (per atom). So, we show that as the atom plus the electron(s) (from the reducing agent, whoever that is) giving rise to the ion.
2) The second equation above violates conservation of charge, as there is no net charge on the left, but a negative 3 total charge on the right.
3) There are two fluorine atoms reduced, giving rise to two fluoride ions, and that requires two electrons, where you've only shown one.