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Solve for f_x
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2x-4y=f_{x}
Swap sides so that all variable terms are on the left hand side.
2x=f_{x}+4y
Add 4y to both sides.
2x=4y+f_{x}
The equation is in standard form.
\frac{2x}{2}=\frac{4y+f_{x}}{2}
Divide both sides by 2.
x=\frac{4y+f_{x}}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{f_{x}}{2}+2y
Divide f_{x}+4y by 2.