What are some basic ideas of Marx's communism?

The basic principle of Marxism is, there should be equality. Karl Marx believed in a utopian society wherein people are equal and classless. But in order to achieve this utopian society, there are three phases that should happen. First, a revolution should take place. This is because of class stuggle. The rich often times exploit the working class and inequal distrubution of goods. Second, a new leader or dictator must lead. In order to achieve the utopian society, they must rid off the capitalist who are in the government. And lastly, a new government be created. They must create a government that follows the principles of socialism or equality.