Solve for x
x=\sqrt{3}\alpha -20
Solve for α
\alpha =\frac{\sqrt{3}\left(x+20\right)}{3}
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20+x=\alpha \sqrt{3}
Swap sides so that all variable terms are on the left hand side.
x=\alpha \sqrt{3}-20
Subtract 20 from both sides.
\sqrt{3}\alpha =x+20
The equation is in standard form.
\frac{\sqrt{3}\alpha }{\sqrt{3}}=\frac{x+20}{\sqrt{3}}
Divide both sides by \sqrt{3}.
\alpha =\frac{x+20}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
\alpha =\frac{\sqrt{3}\left(x+20\right)}{3}
Divide 20+x by \sqrt{3}.
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