Solve for f
f=\frac{x-4}{x}
x\neq 0
Solve for x
x=-\frac{4}{f-1}
f\neq 1
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xf=x-4
The equation is in standard form.
\frac{xf}{x}=\frac{x-4}{x}
Divide both sides by x.
f=\frac{x-4}{x}
Dividing by x undoes the multiplication by x.
fx-x=-4
Subtract x from both sides.
\left(f-1\right)x=-4
Combine all terms containing x.
\frac{\left(f-1\right)x}{f-1}=-\frac{4}{f-1}
Divide both sides by f-1.
x=-\frac{4}{f-1}
Dividing by f-1 undoes the multiplication by f-1.
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