V-ませんか

一緒(いっしょ)に行(い)きませんか。

Issho ni ikimasen ka.

Would you like to come along?

An invitation is politer as a negative question

お茶(ちゃ)を飲(の)みませんか。

Ocha o nomimasen ka.

Shall we have some tea?

Asking a colleague along

今度(こんど)、うちに来(き)ませんか。

Kondo, uchi ni kimasen ka.

Why not come over sometime?

Inviting someone to your home