It looks like you're presenting an equation, but it seems a bit unclear due to formatting. If you intended to solve for \( x \) in the equation \( x = \frac{2}{3}x + \frac{2}{3} \), I can help with that.

Let's solve the equation step by step:

1. Start with the equation:
\[
x = \frac{2}{3}x + \frac{2}{3}
\]

2. Subtract \(\frac{2}{3}x\) from both sides:
\[
x - \frac{2}{3}x = \frac{2}{3}
\]

3. Combine the terms on the left side:
\[
\frac{1}{3}x = \frac{2}{3}
\]

4. Multiply both sides by 3 to isolate \( x \):
\[
x = 2
\]

So, the solution is \( x = 2 \).

If you were presenting another equation or had a different intention, please provide more details!