Correct. Because the denominators are equal, the numerators must be equal: $\displaystyle{2}{x}-{11}={7}\usepackage{cmbright}\Huge\$

Solve for x: $\displaystyle{2}{x}={18}\usepackage{cmbright}\Huge\$ , so $\displaystyle{x}={9}\usepackage{cmbright}\Huge\$