The fact that your partner cheated in the first place shows that there were some deep rooted problems already.
Now on top of that, you have to address why you did what you did, who you cheated with and why you cheated with that particular person. It basically extends that time you would have taken to heal as a couple.
You'll have to deal with the regrets
In revenge cheating, sex is often involved. This can be with a friend, an ex or even a one-night stand situation.
When the rage settles and you finally come to your senses, you'll face the fact that you offered your body to someone else at a throw away price. You might even resent yourself and this can severely damage your self-worth.
It doesn't prevent more cheating
There is nothing you can do to prevent a cheater from doing it again. If they don't care to change, they will continue doing what they've been doing all along even if you decide to retaliate a hundred times.
Revenge cheating will affect them but primarily, this is your personal decision that comes with major personal consequences.
The resentment might never end
After cheating has happened on both sides, it becomes hard to fully heal those wounds. You might reach a point where things are generally okay but there will always be memories of that thing that happened.
That residual resentment usually rears its head during heated arguments. Your partner might remind you that you cheated with so-and-so, and eventually, you'll realize that walking away was better.