Answer
$x=5$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distributive Property and the properties of equality to find the solution to the given equation, $
3(x-2)=14-x
.$
$\bf{\text{Solution Details:}}$
Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the equation above is equivalent to
\begin{array}{l}\require{cancel}
3(x-2)=14-x
\\\\
3(x)+3(-2)=14-x
\\\\
3x-6=14-x
.\end{array}
Using the properties of equality, the equation above is equivalent to
\begin{array}{l}\require{cancel}
3x-6=14-x
\\\\
3x+x=14+6
\\\\
4x=20
\\\\
x=\dfrac{20}{4}
\\\\
x=5
.\end{array}
