Incorrect. Because 10 is a common denominator, you can multiply both sides of the equation by 10 to eliminate the fractions.

$\displaystyle{10}{\left(-{3}+\frac{{x}}{{10}}\right)}=\frac{{4}}{{5}}\cdot{10}\usepackage{cmbright}\Huge\$

Distribute the 10 on the left side. Simplify every term and solve for x. The correct answer is 38.