To solve \((\frac{4}{5} + \frac{2}{3}) \times 2\), we first need to add the fractions \(\frac{4}{5}\) and \(\frac{2}{3}\).

 Step 1: Find a common denominator
The denominators are 5 and 3. The least common multiple (LCM) of 5 and 3 is 15.

 Step 2: Convert the fractions
Convert \(\frac{4}{5}\) and \(\frac{2}{3}\) to have a denominator of 15:

\[
\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}
\]

\[
\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
\]

 Step 3: Add the fractions
Now we can add the two fractions:

\[
\frac{12}{15} + \frac{10}{15} = \frac{12 + 10}{15} = \frac{22}{15}
\]

 Step 4: Multiply by 2
Now we multiply the result by 2:

\[
\frac{22}{15} \times 2 = \frac{22 \times 2}{15} = \frac{44}{15}
\]

 Final Result
Thus, \((\frac{4}{5} + \frac{2}{3}) \times 2 = \frac{44}{15}\).

You can also express this as a mixed number if desired:

\[
\frac{44}{15} = 2 \frac{14}{15}
\]

So the final answer is:

\[
\frac{44}{15} \text{ or } 2 \frac{14}{15}
\]