We are given the equation $-4x = \frac{8}{5}$ and asked to solve for $x$.

1. Problem Description

We are given the equation $-4x = \frac{8}{5}$ and asked to solve for $x$.

2. Solution Steps

To solve for $x$, we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by $-4$.

$$-4x = \frac{8}{5}$$

$$\frac{-4x}{-4} = \frac{8/5}{-4}$$

$$x = \frac{8/5}{-4}$$

$$x = \frac{8}{5} \cdot \frac{1}{-4}$$

$$x = \frac{8}{-20}$$

$$x = \frac{2}{-5}$$

$$x = -\frac{2}{5}$$

3. Final Answer

$x = -\frac{2}{5}$