Correct. Multiply both sides by 6: $\displaystyle{6}{\left(\frac{{5}}{{6}}{x}-\frac{{1}}{{3}}\right)}={6}{\left({2}{x}-{5}\right)}\usepackage{cmbright}\Huge\$ , which simplifies to $\displaystyle{5}{x}-{2}={12}{x}-{30}\usepackage{cmbright}\Huge\$ . Add 30 to both sides, and subtract $\displaystyle{5}{x}\usepackage{cmbright}\Huge\$ from both sides to get $\displaystyle{28}={7}{x}\usepackage{cmbright}\Huge\$ . Finally, divide both sides by 7 to get $\displaystyle{x}={4}\usepackage{cmbright}\Huge\$ .