Solve for x
\left\{\begin{matrix}x=-\frac{\epsilon -k}{z}\text{, }&z\neq 0\\x\in \mathrm{R}\text{, }&\epsilon =k\text{ and }z=0\end{matrix}\right.
Solve for k
k=xz+\epsilon
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xz=k-\epsilon
Subtract \epsilon from both sides.
zx=k-\epsilon
The equation is in standard form.
\frac{zx}{z}=\frac{k-\epsilon }{z}
Divide both sides by z.
x=\frac{k-\epsilon }{z}
Dividing by z undoes the multiplication by z.
k=\epsilon +xz
Swap sides so that all variable terms are on the left hand side.
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