YOU SAID:
i am on my way downtown, do you want to come with me?
INTO JAPANESE
私はダウンタウンに向かっています。一緒に行きませんか?
BACK INTO ENGLISH
I'm heading downtown. Would you like to come with me?
INTO JAPANESE
ダウンタウンに向かってる一緒に来ませんか。
BACK INTO ENGLISH
I'm heading downtown. Why don't you come with me?
INTO JAPANESE
ダウンタウンに向かってる一緒に来てくれないか?
BACK INTO ENGLISH
I'm heading downtown. Can you come with me?
INTO JAPANESE
ダウンタウンに向かってる一緒に来てくれませんか。
BACK INTO ENGLISH
I'm heading downtown. Will you come with me?
INTO JAPANESE
ダウンタウンに向かってる一緒に来てくれませんか。
BACK INTO ENGLISH
I'm heading downtown. Will you come with me?
That didn't even make that much sense in English.