Incorrect. One way to solve this equation is to rewrite the fractions to have the common denominator 18.

$\displaystyle\frac{{{x}-{3}}}{{18}}=\frac{{4}}{{9}}\cdot\frac{{2}}{{2}}\usepackage{cmbright}\Huge\$ or $\displaystyle\frac{{{x}-{3}}}{{18}}=\frac{{8}}{{18}}\usepackage{cmbright}\Huge\$

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