Verified Answer :

Minus the 2 and multiply both sides by the reciprocal of 2/3 I think ...

Subtract 2 on both sides \(\frac{2}{3} x + 2 - 2 = - \frac{2}{9} -2\)
multiply 3/2 on both sides to isolate x  \(\frac{2}{3} x * \frac{3}{2} = - \frac{16}{9} * \frac{3}{2}\)
 Simplify to get your answer \(x = -\frac{8}{3}\)