EU!

[BBROWN1664]

And of course 95% of EU citizens living in the UK are in employment, and they pay taxes. A much greater proportion than UK citizens

Yes, but there are a proportion who are here claiming child benefit, and other benefits like housing benefits, which make the UK more appealing than staying in their home country. Removing these benefits and leaving them with just their earnings will make them think twice and therefore reduce the cost to the UK taxpayer by reducing the benefits we pay out.
Unemployed English people will have the option of taking the now vacant jobs and we end up paying even less benefits to them.

The downside that will affect some is that the local car was will no longer exist as some British unemployed see that as too much effort for the money.