Answer
Only $x=2$ is a solution of the given equation.
Work Step by Step
Substitute each value of $x$ into the equation. If the resulting equation is true, then the number is a solution of the given equation.
$\text(a)$ Substitute $-1$ to $x$:
$\begin{align*}
2x-1&=3\\
2(-1)-1&\stackrel{?}{=}3\\
-3&\not=3
\end{align*}$
Thus, $x=-1$ is NOT a solution of the given equation.
$\text(b)$ Substitute $2$ to $x$:
$\begin{align*}
2x-1&=3\\
2(2)-1&\stackrel{?}{=}3\\
3&\stackrel{\checkmark}{=}3
\end{align*}$
Thus, $x=2$ is a solution of the given equation.