Question

mik333
let R non commutative ring define x*y=y.x
show that the set R forms a ring using the operation * and + instead of . and +

i have to prove closer,and distributive
like x*(a+b)=(a+b).x=a.x+b.x=(x*a)+(x*b)
(a+b)*x=x.(a+b)=x.a+x.b=a*x+b*x
so is the distributive law check?