Here are some phrases and expressions for inviting in English.
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Do you want to . . .

Do you wanna . . . (informal)

Would you like to . . . (more polite)

How about (V+ing) ?

How would you like to . . .

1. Do you want to dance?

2. Would you like to go hiking this weekend?

3. How about going swimming on Friday?

4. How would you like to play golf tomorrow?

No thanks. I'm kind of tired right now

Sure, I'd love to. What time should we meet?

Ah. Can I get back to you on that?

Sounds like a great idea. Where do you want to go?

For Conversation practice:

Speaking Situations : Inviting

See also :

Speaking : Accepting and Refusing

Business : Invitations

Textbook : Touchy Situations, Chapter 7, New Interchange 1, Chapter 4, English Knowhow, Book 1, Chapter 3