We need to solve the equation:

$\frac{1}{3}x = -2$

Step 1: Multiply both sides of the equation by 3 to eliminate the fraction

$x = -2 \times 3$ $x = -6$

So, the solution is: $x = -6$

Would you like further clarification on any step or have other questions?

Here are 5 related questions:

1. What if the equation was $\frac{1}{4}x = -2$?
2. How would you solve $\frac{2}{5}x = -3$?
3. What happens if the right-hand side is a fraction, like $\frac{1}{3}x = \frac{-5}{2}$?
4. How would you check if your solution to $\frac{1}{3}x = -2$ is correct?
5. How would the solution change if the left-hand side was $\frac{2}{3}x = -2$?

Tip: When solving equations with fractions, multiplying by the reciprocal of the fraction helps eliminate it easily.