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2x=z-4
Subtract 4 from both sides.
\frac{2x}{2}=\frac{z-4}{2}
Divide both sides by 2.
x=\frac{z-4}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{z}{2}-2
Divide z-4 by 2.
z=2x+4
Swap sides so that all variable terms are on the left hand side.