Should I give my x husband another chance who has left me 3 times for the woman he is now engaged with, who now wants me and the kids back again?

The question is another chance at what? Mercy, compassion, and forgiveness are rich and valuble components of humanity, but you must also protect yourself and your children. If you feel that he can be responsbable and stable for your children, then perhaps you can negotiate for him to be in their lives. You, however, must decide if you wan't him to be in your life now that he has clearly prioritized his relationship with his fiancee over yours. These are separate issues, and they deserve independent answers. You must do what you feel is right for your children, but also what is right for yourself.

He's shown you his pattern. Apology without change is manipulation. What would you tell a friend if they were in your situation? He's engaged, he has left you and your kids 3 times. Those are his patterns. Don't ignore them. He's not someone you want as a role-model for your kids, is he? And he's not a reliable life partner you can trust and build with, is he? What does he possibly have to offer you that you don't already have? It's better to accept that he has moved on, and for you to move on too. For everyone's sake.

That’s a question only you can answer. This is a situation based on so many levels, with so many individual scenarios that determine an outcome. You really have to look within yourself and decide what you need and want from your situation and how either outcome would be for you. Understanding that trust issues are involved, anger, sadness, guilt, love can all play a huge role in what goes through your head when trying to come up with the answer. No answer will be right in everybody’s eyes, but you must find the best way for you and what you can live comfortably with