Political Agitator

You are Left-wing politically if you believe power and wealth should be distributed everyone. And remember, equity, not equality.
You are Right-wing politically if you believe that wealth and power should be in the hands of the few.
Capitalism is the private ownership of the means of the production. Power and wealth in the hands of the few. As under Capitalism, there will always be a minority of owners and the rest being workers.
Thus if you are Capitalist, even a Social Democrat, you are at least somewhat Right-wing political. Even if your Capitalism is just, "It is alright for there to be small business owners."