## College Algebra (10th Edition)

$x = \dfrac{1}{2}$
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: $\dfrac{4x}{4} = \dfrac{2}{4} \\x = \dfrac{1}{2}$