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
[tex] \frac{3}{15}[/tex]-[tex] \frac{d}{5} [/tex]-([tex] \frac{5}{6} [/tex]+[tex] \frac{d}{3}[/tex]=0

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

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

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

Step 4:[tex]16d= -19:Divide \ both \ sides \ by \ 16:d= \frac{-19}{16}= -1.188[/tex]

Your answer is [tex]d\boxed{\boxed={ \frac{-19}{16}= -1.1888}}}}[/tex]

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