The given algebraic equation is:
[tex]\frac{5}{6}x=-\frac{1}{6}[/tex]
By cross-multiplying, we have:
[tex]\begin{gathered} 5x\times6=6\times-1 \\ 30x=-6 \\ \frac{30x}{30}=-\frac{6}{30} \\ x=-\frac{1}{5} \end{gathered}[/tex]
Hence, the correct option is option B
