Incorrect. One way to solve this equation is to rewrite the fractions to have the common denominator 9.

$\displaystyle\frac{{{x}+{4}}}{{9}}=\frac{{2}}{{3}}\cdot\frac{{3}}{{3}}\usepackage{cmbright}\Huge\$ or $\displaystyle\frac{{{x}+{4}}}{{9}}=\frac{{6}}{{9}}\usepackage{cmbright}\Huge\$

Now the numerators must be the same number. Set them equal to each other and solve.