http://rationalwiki.org/wiki/Fascism is much more eloquent that I am so I'll quote them:
"Many political philosophies called fascism in retrospect (Austrofascism, Spanish National Catholicism, etc.) were just radicalized, populist spins on conservatism. There were two exceptions to this: Italian fascism and Nazism.
Mussolini was originally a democratic socialist, and his original fascism started out as a right-wing spin on this. He continued to accept the idea of class struggle, although changing his ideas on how to end it: for him, it could be ended by all the classes within a certain country working together ("class collaboration"). This unification of classes was to be brought about by emphasizing a shared national heritage; in Italy's case, recalling the days of the Roman Empire. In this way, the fascist program shares many similarities with social conservatism, but the two philosophies approach the question from different angles, social conservatives seeing the preservation of a traditional or pseudo-traditional social order as an end in itself, fascism seeing it as a means to a further end.
Hitler's Nazism also saw the nation (in his case, racially defined) as a unifying point, but instead of viewing this as a solution to the class issue, he saw it as a means of opposing the perceived machinations of "Jewish" communists, bankers and businessmen (yes, he imagined there was a conspiracy between communists and bankers, based on their common Jewishness), and promoting the interests of "pure-blooded" German people. Nazi ideology insisted very strongly on race-based policies and the need for unity among members of the "Aryan race", to the exclusion of everything else (such as individual interests or class interests). Thus, Nazism positioned itself against socialists and communists who focused on class, and also against liberal capitalists who focused on the individual."
They've done a good job of arguing that Fascism takes elements of both, but tend to lean left in that the state and not the individual should control the economy and social order.