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11m=\frac{2x}{3}
The equation is in standard form.
\frac{11m}{11}=\frac{2x}{3\times 11}
Divide both sides by 11.
m=\frac{2x}{3\times 11}
Dividing by 11 undoes the multiplication by 11.
m=\frac{2x}{33}
Divide \frac{2x}{3} by 11.
\frac{2}{3}x=11m
Swap sides so that all variable terms are on the left hand side.
\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{11m}{\frac{2}{3}}
Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{11m}{\frac{2}{3}}
Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.
x=\frac{33m}{2}
Divide 11m by \frac{2}{3} by multiplying 11m by the reciprocal of \frac{2}{3}.