Solve the equation. Check the solution. \[ -5 x+\frac{4}{3}=\frac{8}{3} \] \[ x=\square \text { (Type an integer or a simplified fraction.) } \]

Step 1 ：Subtract \(\frac{4}{3}\) from both sides of the equation: \(-5x = \frac{8}{3} - \frac{4}{3}\)

Step 2 ：Simplify the right side of the equation: \(-5x = \frac{4}{3}\)

Step 3 ：Divide both sides by -5: \(x = \frac{4}{3} \div -5\)

Step 4 ：Simplify the fraction: \(\boxed{x = -\frac{4}{15}}\)