Marxism is the theories of political philosopher Karl Marx.
Karl Marx was born in Germany in the 19th century. He died in Great Britain later on. He inspired many left wing revolutionaries including Lenin and Che Guevara
Although most people believe that Marx's most famous book The Communist Manifesto is centred on communism, most of it is criticism of capitalism and the problems with right wing society.
Another theory is that socialism is one of the steps towards stateless communism.