Answer
n=3
Work Step by Step
Original equation
$\frac{n+1}{8}$-$\frac{2-n}{3}$=$\frac{5}{6}$
Multiply through by 24
3(n+1)-8(2-n)=20
Distribute
3n+3-16+8n=20
Combine like terms
11n-13=20
Add 13 to both sides
11n=33
Divide both sides by 11
n=3