$$2.75x-5-2.25x=1.5$$
Combine $2.75x$ and $-2.25x$ to get $0.5x$.$$0.5x-5=1.5$$
Add $5$ to both sides.$$0.5x=1.5+5$$
Add $1.5$ and $5$ to get $6.5$.$$0.5x=6.5$$
Divide both sides by $0.5$.$$x=\frac{6.5}{0.5}$$
Expand $\frac{6.5}{0.5}$ by multiplying both numerator and the denominator by $10$.$$x=\frac{65}{5}$$
Divide $65$ by $5$ to get $13$.$$x=13$$