Solve for c
c=2-\frac{4}{x}
x\neq 0
Solve for x
x=-\frac{4}{c-2}
c\neq 2
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xc=2x-4
The equation is in standard form.
\frac{xc}{x}=\frac{2x-4}{x}
Divide both sides by x.
c=\frac{2x-4}{x}
Dividing by x undoes the multiplication by x.
c=2-\frac{4}{x}
Divide -4+2x by x.
cx-2x=-4
Subtract 2x from both sides.
\left(c-2\right)x=-4
Combine all terms containing x.
\frac{\left(c-2\right)x}{c-2}=-\frac{4}{c-2}
Divide both sides by c-2.
x=-\frac{4}{c-2}
Dividing by c-2 undoes the multiplication by c-2.
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