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Let f(x) = 1/(x+7)+15/(x-8). Find all a for which f(a)=f(a+15).

Let f(x) = 1/(x+7)+15/(x-8). Find all a for which f(a)=f(a+15).
I understand this so far
f(a)=f(a+15)
1/(7+a) + 15/(a-8) = 1/(a+22) + 15/(a+7)
I have multiplied the LCD of (a-8)(a+7)(a+22)by both sides with no luck.
This is a multiple choice question
a.) -161/8
b.) 120/7
c.) 161/7
d.) -17
I have the answer as

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