#### Answer

$x=\dfrac{y+8}{2}$

#### Work Step by Step

Using the properties of equality, in terms of $
x
,$ the given equation, $
y=2(x-4)
,$ is equivalent to
\begin{array}{l}\require{cancel}
y=2x-8
\\\\
y+8=2x
\\\\
\dfrac{y+8}{2}=x
\\\\
x=\dfrac{y+8}{2}
.\end{array}