Solve for f
f=-2+\frac{4}{x}
x\neq 0
Solve for x
x=\frac{4}{f+2}
f\neq -2
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xf=4-2x
The equation is in standard form.
\frac{xf}{x}=\frac{4-2x}{x}
Divide both sides by x.
f=\frac{4-2x}{x}
Dividing by x undoes the multiplication by x.
f=-2+\frac{4}{x}
Divide -2x+4 by x.
fx+2x=4
Add 2x to both sides.
\left(f+2\right)x=4
Combine all terms containing x.
\frac{\left(f+2\right)x}{f+2}=\frac{4}{f+2}
Divide both sides by f+2.
x=\frac{4}{f+2}
Dividing by f+2 undoes the multiplication by f+2.
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