What's a National Socialist?

I'm a little confused about what polices make national socialism and about the terminology of the name.  In the USA it seems that political terminology is different than in other parts of the world.  A lot of people here say that left vs right=statism vs anarchism.  I thought that left vs right=radical change/progressivism vs status quo/traditional values.  The fact that the title national socialism includes the word "socialism" and that it was very statist, a lot of people in the US say that the Nazis were left wing.  This confuses me because they hated communists and trade unions, and because Mussolini described fascism as being when state interests were the same as corporate interests.  So much so that fascism could also be called corporatism.  That desn't sound left wing to me.  It also seems that left wing movements tend to be communal such as communists believing that national borders should be disssolved while right wing movements tend to me nationalistic.  This also does not fit the Nazis being left wing.  So are national socialists left or right wing?  If right, then where does the "socialist" in national socialist come from?

What's meant by national is essentially non-interventionism, public money stays in the country and that kind of thing, not notions of master race fanaticism.

As for socialism, it's basically a difference between taxation and the role of government; the difference between left and right that is. The economically "left" believe that taxation should be high in order to pay for public services such as transportation, health care, scientific programmes, regulatory bodies, etc. The result is that no one has to think very much and if you fail, there's always other people's tax money to fall back on. The oppose of this is that those on the "right" support is low taxation to only pay for essential services such as policing, the military and law making. This is a system where people succeed on their own merit and face consequences for poor decisions, where you pay only for the services you use.

I'm sure someone will argue that but that's basically the idea.