Answer
Only $x=-1$ 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 $x$:
$\begin{align*}
-2(x-1)&=1-3x\\
-2(-1-1)&\stackrel{?}{=}1-3(-1)\\
4&\stackrel{\checkmark}{=}4
\end{align*}$
Thus, $x=-1$ is a solution of the given equation.
$\text(b)$ Substitute $2$ to $x$:
$\begin{align*}
-2(x-1)&=1-3x\\
-2(2-1)&\stackrel{?}{=}1-3(2)\\
-2&\not=-5
\end{align*}$
Thus, $x=2$ is NOT a solution of the given equation.
