Answer
$x=\frac{12-y}{5+4k}$, where $k\neq0$.
Work Step by Step
The given equation is
$\Rightarrow 12-5x-4kx=y$
Subtract $12$ from each side.
$\Rightarrow 12-5x-4kx-12=y-12$
Simplify.
$\Rightarrow -5x-4kx=y-12$
Use distributive property.
$\Rightarrow -x(5+4k)=y-12$
Divide each side by $-(5+4k)$.
$\Rightarrow \frac{-x(5+4k)}{-(5+4k)}=\frac{y-12}{-(5+4k)}$
Simplify.
$\Rightarrow x=\frac{12-y}{5+4k}$
Hence, the rewritten literal equation is $x=\frac{12-y}{5+4k}$, where $k\neq0$.
