-1/6x = -9/10
Do I divide the -1/6 by its reciprocal?
leaving me with: X = -9/10 divided by -1/6
And I am stuck!! Please show me how it is done.
The negative is no issue here.
as you usually do in any equation of the form $\displaystyle ax=b$: $\displaystyle x=\frac{b}{a}$. In your case, you have $\displaystyle x=\frac{\frac{-9}{10}}{\frac{-1}{6}}=\frac{-9}{10} \times \frac{6}{-1} = \frac{54}{10}=\frac{27}{5}$