Does $2$ commute in a ring?

Question

Let $R$ be a Ring. Define $1$ to be the multiplicative identity of $R$ and define $2:= 1+1.$

In general, does it hold that $2x=x2$?

From distributivity I would think $\ 2x=(1+1)x=x+x=x(1+1)=x2\ $, but I'm not certain if this is a valid proof.