Answer
$g=8$
Work Step by Step
$$\begin{align*}
2g-13+13&=3+13 &\text{Add 13 to each side.}\\
2g&=16 &\text{Simplify.}\\
\frac{2g}{2}&=\frac{16}{2} &\text{Divide 2 to both sides.}\\
g&=8 &\text{Simplify.}\\
\end{align*}$$
Check the answer by substituting $8$ to the variable in the given equation.
$$\begin{align*}
2g-13&=3\\
2(8)-13&\stackrel{?}{=}3\\
16-13&\stackrel{?}{=}3\\
3&\stackrel{\checkmark}{=}3
\end{align*}$$
Thus, the solution is $g=8$.