Is this a typo in my math book? I am doing homework which is submitted online. I came across a question asking if two functions are equal. $f(x)=3x+4$ and $g(x)=14+(8/x)+b(x-4)$. I set the two equations together and got 7 for an answer but the book says the answer is $\frac {7}{3}$.
Here is an image of the solution in the book:


If you set $f(-3) = g(-3)$, you end up with:
$$-5 = 14 -(8/3) -7b$$
If you multiply by 3 to remove fractions, you are left with
$$-15 = 42 - 8 -21b$$
Collecting like terms, we are left with
$$21b = 49$$
reducing yields: $$b = 7/3$$
Can you find your error?
