Solve for x
x=\frac{2\beta }{3}
\beta \neq 0
Solve for β
\beta =\frac{3x}{2}
x\neq 0
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3x=2\beta
Multiply both sides of the equation by 3\beta , the least common multiple of \beta ,3.
\frac{3x}{3}=\frac{2\beta }{3}
Divide both sides by 3.
x=\frac{2\beta }{3}
Dividing by 3 undoes the multiplication by 3.
3x=2\beta
Variable \beta cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3\beta , the least common multiple of \beta ,3.
2\beta =3x
Swap sides so that all variable terms are on the left hand side.
\frac{2\beta }{2}=\frac{3x}{2}
Divide both sides by 2.
\beta =\frac{3x}{2}
Dividing by 2 undoes the multiplication by 2.
\beta =\frac{3x}{2}\text{, }\beta \neq 0
Variable \beta cannot be equal to 0.
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