Answer
$x = \dfrac{1}{2}$
Work Step by Step
The two sides have the same base.
Use the rule $a^m=a^n \longrightarrow m=n$ to obtain:
$3x=2-x$
Add $x$ to both sides of the equation to obtain:
$\begin{array}{ccc}
&3x+x &= &2-x+x
\\&4x &= &2
\end{array}$
Divide by 4 to both sides of the equation to obtain:
$\dfrac{4x}{4} = \dfrac{2}{4}
\\x = \dfrac{1}{2}$