It is through this that a real equal distribution of wealth can take place. But most socialist parties don't believe in this idea at all. Rather they see socialism as something else. For them it is the idea of their Party which 'represents' the workers interests taking control of the State and 'making it work for the people'. Thus they put a lot of energy into promoting individual personalities as 'good politicians' who will sort out your problems unlike the 'bad politicians' currently in power.
Anarchists say that no one can actually 'represent' workers interests but workers themselves.
Anarchists argue that only all those who suffer inequality and injustice can and will at the end of the day see the fight to end it through to the finish. Far from changing anything, things can often get worse for many workers. Anarchists argue that the means used to build socialism and ends achieved are connected. Thus a Party which achieves power believing itself to represent the working class cannot but end up creating a rigid hierarchical society all over again. Finally then, anarchism is the idea of a free socialist society and how it can be achieved by the direct action and strength of the working class.