Using the rules of the segment addition postulate, we get (3x+8)+(4x+6)=28.
Combine like terms: 7x+14=28.
Subtract 14 from both sides: 7x=14.
Divide both sides by 7, and there's the value of x.
P.S, I hope you didn't mind me posting at the same time as you. I clicked publish, and yours popped up "0 min ago."