～ませんか
Use ませんか to politely invite someone to do something together. It literally means 'Won't you...?' and is a softer invitation.
Would you like to...? / Won't you...?
Formation: [Verb stem] + ませんか
A polite way to invite or suggest
一緒いっしょに映画えいがを見みませんか。
コーヒーを飲のみませんか。