To solve the equation \(\frac{x - \frac{2}{5}}{\frac{4}{5}} = 2\), let's follow these steps:

1. **Simplify the left side of the equation:**

\[
\frac{x - \frac{2}{5}}{\frac{4}{5}} = 2
\]

To simplify the fraction, multiply both the numerator and the denominator by the reciprocal of the denominator:

\[
\frac{x - \frac{2}{5}}{\frac{4}{5}} \times \frac{5}{4} = 2 \times \frac{5}{4}
\]

This simplifies to:

\[
(x - \frac{2}{5}) \times \frac{5}{4} = 2 \times \frac{5}{4}
\]

2. **Simplify the right side of the equation:**

\[
2 \times \frac{5}{4} = \frac{10}{4} = \frac{5}{2}
\]

So the equation now is:

\[
(x - \frac{2}{5}) \times \frac{5}{4} = \frac{5}{2}
\]

3. **Isolate \(x - \frac{2}{5}\):**

Multiply both sides of the equation by \(\frac{4}{5}\):

\[
x - \frac{2}{5} = \frac{5}{2} \times \frac{4}{5}
\]

Simplify the right side:

\[
x - \frac{2}{5} = \frac{5 \times 4}{2 \times 5} = \frac{20}{10} = 2
\]

4. **Solve for \(x\):**

Add \(\frac{2}{5}\) to both sides of the equation:

\[
x = 2 + \frac{2}{5}
\]

Convert 2 to a fraction with a common denominator:

\[
2 = \frac{10}{5}
\]

So:

\[
x = \frac{10}{5} + \frac{2}{5} = \frac{12}{5}
\]

Therefore, the solution is:

\[
x = \frac{12}{5}
\]