Fractional Equations #4
Algebra
Level
3
Given that the value of \(x\) that satisfies the equation
\[\dfrac{x+1}{x+2}+\dfrac{x+8}{x+9}=\dfrac{x+2}{x+3}+\dfrac{x+7}{x+8}\]
can be expressed in the form \(-\dfrac{m}{n}\), where \(m\) and \(n\) are coprime, positive integers, find the value of \(m+n\).
by
Victor Loh