2/3 2/3x -2/3-2/3=2/3

Let's solve the equation step-by-step: Given: \[ \frac{2}{3}x - \frac{2}{3} - \frac{2}{3} = \frac{2}{3} \] Step 1: Combine like terms on the left side: \[ \frac{2}{3}x - \left(\frac{2}{3} + \frac{2}{3}\right) = \frac{2}{3} \] \[ \frac{2}{3}x - \frac{4}{3} = \frac{2}{3} \] Step 2: Add \(\frac{4}{3}\) to both sides: \[ \frac{2}{3}x = \frac{2}{3} + \frac{4}{3} \] \[ \frac{2}{3}x = \frac{6}{3} \] Step 3: Simplify the right side: \[ \frac{2}{3}x = 2 \] Step 4: Divide both sides by \(\frac{2}{3}\): \[ x = 2 \div \frac{2}{3} = 2 \times \frac{3}{2} = 3 \] **Final answer:** \[ \boxed{x = 3} \]