Answer
$x=\frac{z-8}{6-p}$, where $p\neq0$.
Work Step by Step
The given equation is
$\Rightarrow z=8+6x-px$
Subtract $8$ from each side.
$\Rightarrow z-8=8+6x-px-8$
Simplify.
$\Rightarrow z-8=6x-px$
Use distributive property.
$\Rightarrow z-8=x(6-p)$
Divide each side by $6-p$.
$\Rightarrow \frac{z-8}{6-p}=\frac{x(6-p)}{6-p}$
Simplify.
$\Rightarrow \frac{z-8}{6-p}=x$
Hence, the rewritten literal equation is $x=\frac{z-8}{6-p}$, where $p\neq0$.