Would I be entitled to sell my house, which is solely in my name, if my wife walked out, without her permission, providing funds were distributed 50/50?
If she left, for say a month, and then wanted to come back to live in the marital home, would I have a right to refuse her access (change the locks etc) But obviously get the 50/50 agreement sorted. Access would be given for possessions etc.
If she has to buy a house big enough for her and their six under 18 year olds, hasn't worked since the first was born to allow the husband to concentrate on his career, then in law she may be entitled to a bigger slice.
If there are any children and she has no permanent address but had to move out due to domestic violence then she may have a right to live in the house without you, at least until the youngest is grown up.
Assuming there are no children, there is no reason at all why you can't sell the house and divide the equity. It would be courteous to inform her of your intentions.
There is one child, age 16, no domestic violence (yet !!!! lol) and we've both worked throughout our time with the kids as we both did our bit bringing them up.
my best advice, from experience, is this: get together talk and agree between yourselves, do not involve lawyers, they will merely milk the pair of you. I did mine on the internet for minimal cost. My former wife and I agreed a settlement between us. So you are correct in being reasonable about the house.
It's not always so straightforward, I know someone, he earning good money and his wife none. They wanted to divorce amicably and he generously said she could have the whole of their owned house, but the judge would not allow him to do it, reasoning that you have a good income now, but if you, for some reason, loose that, you will have no income and no property and could, through your generosity, become a burden on the state.