Answer :

5+2/p=17/p
5+2/p-17/p=0
5+(2-17)/p=0
5-15/p=0
5=15/p
p=15/5
p=3 
I don't really know if it's right though
[tex]5+\frac{2}{p}=\frac{17}{p};\ p\neq0\\\\\frac{5p}{p}+\frac{2}{p}=\frac{17}{p}\\\\\frac{5p+2}{p}=\frac{17}{p}\iff5p+2=17\\\\5p=17-2\\\\5p=15\ /:5\\\\p=3[/tex]

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