1/2(16x - 8) = 2(x + 16)

Hey!  Don't quote me! Just kidding!

x=6

That is all!

Let's see how happy7 might have gotten this

1/2(16x - 8) = 2(x + 16)      multiply both sides by 2

16x - 8  =  4(x + 16)   simplify

16x - 8 = 4x + 64      add 8 to both sides

16x = 4x + 72           subtract 4x from both sides

12x = 72                   divide both sides by 12

x = 6

And as happy7 has said, "That is all."

OMFG!!! thats priceless! haha!