I decided to go back my hometown to meet my family

[output]

Is the following sentence correct and natural?

I decided to go back my hometown to meet my family.

 

[Barque]

You need a "to" after "back".

I'd also write "home town", as two words. Some might prefer a single word however. (This might be a BE-AmE difference. "Hometown" sounds AmE to me.)

Other than that, it sounds fine.

 

[SoothingDave]

"Meet" doesn't seem to be the right word. Unless this is family that you have never met before.

If you're talking about going back to see Mom and Dad, then I would say that you went to see them. Or visit them.

 

[jutfrank]

I write hometown as one word.

 

[emsr2d2]

I'd write "hometown" too. It does sound odd with "meet". You could, however, use "meet up with". I'd probably use "visit".