Verified Answer :

3/15 -(d/5)=5/6+(d/3)
-(d/5)-(d/3)=5/6-3/15

-(8d/15)=19/30
-8d=19/2
-d=76
d=-76

\(\frac{3}{15}\)-\(\frac{d}{5}\)-(\(\frac{5}{6}\)+\(\frac{d}{3}\)=0

Step 1:\(\frac{5}{6}\)+\(\frac{d}{3}\)=\(\frac{3}{15}- \frac{d}{5}- \frac{(2d+5)}{6}=0\)

Step 2:\(\frac{1}{5}- \frac{d}{5}= \frac{(1-d)}{5}- \frac{(2d+5)}{6}=0\)

Step 3:\(\frac{(1-d)*6-(2d+5)*5}{30}= \frac{-1*(16d+19)}{30}\)

Step 4:\(16d= -19:Divide \ both \ sides \ by \ 16:d= \frac{-19}{16}= -1.188\)

Your answer is \(d\boxed{\boxed={ \frac{-19}{16}= -1.1888}}}}\)