any night of the week, usually except Saturday and Sunday.
Also, weeknightly [week-nahyt-lee] . of, on, or for a weeknight: the weeknight lineup of TV programs.

1855–60; week + night

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World English Dictionary
weeknight (ˈwiːkˌnaɪt)
the evening or night of a weekday

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
Embellish it with a fried egg and your own toppings and you've got a
  satisfyingly hearty breakfast, brunch, or weeknight supper.
The nightly rate includes a full buffet breakfast each morning and a weeknight
  wine and cheese reception.
Wake up to a complimentary breakfast buffet each morning or relax in the
  evenings at the inn's evening weeknight social hour.
Live music is offered weekly and trivia and bingo are popular weeknight
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