Answer :

[tex]\begin{gathered} \text{The given fraction is}\Rightarrow\frac{8}{9} \\ \text{Add x in both numerator and denominator as,} \\ \Rightarrow\frac{8+x}{9+x}=\frac{6}{7} \\ 7(8+x)=6(9+x) \\ 56+7x=54+6x \\ x=54-56 \\ x=-2 \end{gathered}[/tex]