1. The problem is to simplify the expression $$\frac{2x}{3} = \frac{-1}{3}$$. 2. This is an equation where the fraction on the left side equals the fraction on the right side. 3. To solve for $x$, multiply both sides of the equation by 3 to eliminate the denominators: $$3 \times \frac{2x}{3} = 3 \times \frac{-1}{3}$$ 4. Simplifying both sides: $$2x = -1$$ 5. Now, solve for $x$ by dividing both sides by 2: $$x = \frac{-1}{2}$$ 6. Therefore, the solution to the equation is $x = -\frac{1}{2}$.