Note that $\displaystyle-{2}\usepackage{cmbright}\Huge\$ and 3 are excluded values. Multiply both sides by the common denominator $\displaystyle{\left({x}+{2}\right)}{\left({x}-{3}\right)}\usepackage{cmbright}\Huge\$ :

$\displaystyle\frac{{{12}{\left({x}+{2}\right)}{\left({x}-{3}\right)}}}{{{x}+{2}}}=\frac{{{9}{\left({x}+{2}\right)}{\left({x}-{3}\right)}}}{{{x}-{3}}}\usepackage{cmbright}\Huge\$

Simplify: $\displaystyle{12}{\left({x}-{3}\right)}={9}{\left({x}+{2}\right)}\usepackage{cmbright}\Huge\$

Distribute: $\displaystyle{12}{x}-{36}={9}{x}+{18}\usepackage{cmbright}\Huge\$

Solve for x: $\displaystyle{12}{x}={9}{x}+{54}\usepackage{cmbright}\Huge\$ , $\displaystyle{3}{x}={54}\usepackage{cmbright}\Huge\$ , $\displaystyle{x}={18}\usepackage{cmbright}\Huge\$