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2\alpha =3\beta
The equation is in standard form.
\frac{2\alpha }{2}=\frac{3\beta }{2}
Divide both sides by 2.
\alpha =\frac{3\beta }{2}
Dividing by 2 undoes the multiplication by 2.
3\beta =2\alpha
Swap sides so that all variable terms are on the left hand side.
\frac{3\beta }{3}=\frac{2\alpha }{3}
Divide both sides by 3.
\beta =\frac{2\alpha }{3}
Dividing by 3 undoes the multiplication by 3.