Answer
$x=\dfrac{62}{3}$
Work Step by Step
With an equal sign, the given is an $\text{
equation
}.$
Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the solution to the given equation, $
-7(x+4)+13(x-6)=18
,$ is
\begin{array}{l}\require{cancel}
-7x-28+13x-78=18
\\\\
-7x+13x=18+28+78
\\\\
6x=124
\\\\
x=\dfrac{124}{6}
\\\\
x=\dfrac{\cancel{2}(62)}{\cancel{2}(3)}
\\\\
x=\dfrac{62}{3}
.\end{array}
