unique mode: $6$  median: $6$  $(3+4+5+6+6+7+x)\div7=6$  $x=11$ 
The mean, median, and unique mode of the positive integers $3,4,5,6,6,7$, and $x$ are all equal. What is the value of $x$ ? (2012 AMC8, Question \#11) 
(a) $$5$$ 
(b) $$6$$ 
(c) $$7$$ 
(d) $$11$$ 
(e) $$12$$ 