Answer
$x=2$
Work Step by Step
The given equation is
$\Rightarrow 5x+3=13$
Subtract $3$ from each side.
$\Rightarrow 5x+3-3=13-3$
Simplify.
$\Rightarrow 5x=10$
Divide each side by $5$.
$\Rightarrow \frac{5x}{5}=\frac{10}{5}$
Simplify.
$\Rightarrow x=2$.
Check:-
$\Rightarrow 5(2)+3=13$
$\Rightarrow 10+3=13$
$\Rightarrow 13=13$
True.
Hence, the solution is $x=2$.