Can somebody help me solve this problem for x using the distributive property? 1/2(4x+10)=16

I got x=9

1/2(4x+10)=16

2x + 5 = 16
2x + 5 -5 = 16 -5
2x = 11
2x/2 = 11/2
x = 11/2
check
1/2(4 *11/2 + 10) = 16
1/2 ( 22 + 10) = 16
1/2(32) = 16
16 = 16
answer x = 11/2