Calculate: x=13

Solve for x: $x=13$

Subtract $2.25x$ from both sides.

$$2.75x-5-2.25x=1.5$$

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 $13$.

$$x=13$$