#### Answer

$$x=\frac{13}{4}$$

#### Work Step by Step

$$4x-5=8$$
1. First, add 5 to both sides of the equation to isolate the variable "x".
$4x-5+5=8+5$
$4x=13$
2. Then divide both sides by 4 to isolate the variable.
$4x\div4=13\div4$
$$x=\frac{13}{4}$$