To solve the equation \( 52x = -18 \), you'll need to isolate \( x \). You can do this by dividing both sides of the equation by 52:
\[ x = \frac{-18}{52} \]
Now, simplify the fraction. Both the numerator and denominator can be divided by 2:
\[ x = \frac{-9}{26} \]
So the solution to the equation \( 52x = -18 \) is:
\[ x = -\frac{9}{26} \]