By the way, this scenario doesn't make sense. I understand if you want to ask how do we exactly calculate tour equity without using Equilab, but if you want to ask how to estimate the equity, it doesn't make sense. That is because if we are at the tables and need to estimate something, we never know villain's hand. If we know villain's hand the hand is already over and we can always just use Equilab

And doing the calculation using villain's exact hand is not relevant in many scenarios anyway.