The political right is a subset of the left

We are familiar with the definition of left-wing to mean someone who advocates for a large state, usually with the provision of state services such as healthcare and education. The opposite of this, we are often given to assume is something called 'right-wing' but there is no such opposite of left-wing. The natural opposite of left-wing is liberal anarchy so then to be right-wing is nothing more than to be a kind of left-wing. The political right is a subset of the left, there is no part of the political right which is outside and apart from the left... all on the right are part of the left.