Find the equation of the circle which passes through the points P(-2,0), Q(4,6) and has its centre on the line 2x+y=6.

what i tried to do is:

let centre of circle be (x,y)

Subst. (1) and (2) into (3),

Subst. x=10 into (1),

centre of circle is (10,-14)..

but the answer is (2,2).....where did i go wrong? is my approach to the question even correct in the first place??