Multiply both sides by $\displaystyle-{3}\usepackage{cmbright}\Huge\$ and reverse the sign:

$\displaystyle\frac{{{5}{d}+{2}}}{{-{{3}}}}\cdot{\left(-{3}\right)}<-{4}\cdot{\left(-{3}\right)}\usepackage{cmbright}\Huge\$ or $\displaystyle{5}{d}+{2}<{12}\usepackage{cmbright}\Huge\$

Subtract 2 from both sides:

$\displaystyle{5}{d}+{2}-{2}<{12}-{2}\usepackage{cmbright}\Huge\$ or $\displaystyle{5}{d}<{10}\usepackage{cmbright}\Huge\$

Divide both sides by 5:

$\displaystyle\frac{{{5}{d}}}{{5}}<\frac{{10}}{{5}}\usepackage{cmbright}\Huge\$ or $\displaystyle{d}<{2}\usepackage{cmbright}\Huge\$