To solve the equation \( 85x = -10 \), you need to isolate \( x \).
You can do this by dividing both sides of the equation by 85:
\[ x = \frac{-10}{85} \]
Now, simplify the fraction:
\[ x = \frac{-2}{17} \]
So, the solution to the equation \( 85x = -10 \) is
\[ x = -\frac{2}{17}. \]