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Solve for x
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gx-2x=1
Subtract 2x from both sides.
\left(g-2\right)x=1
Combine all terms containing x.
\frac{\left(g-2\right)x}{g-2}=\frac{1}{g-2}
Divide both sides by g-2.
x=\frac{1}{g-2}
Dividing by g-2 undoes the multiplication by g-2.