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9h=\frac{15x}{2}
The equation is in standard form.
\frac{9h}{9}=\frac{15x}{2\times 9}
Divide both sides by 9.
h=\frac{15x}{2\times 9}
Dividing by 9 undoes the multiplication by 9.
h=\frac{5x}{6}
Divide \frac{15x}{2} by 9.
\frac{15}{2}x=9h
Swap sides so that all variable terms are on the left hand side.
\frac{\frac{15}{2}x}{\frac{15}{2}}=\frac{9h}{\frac{15}{2}}
Divide both sides of the equation by \frac{15}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{9h}{\frac{15}{2}}
Dividing by \frac{15}{2} undoes the multiplication by \frac{15}{2}.
x=\frac{6h}{5}
Divide 9h by \frac{15}{2} by multiplying 9h by the reciprocal of \frac{15}{2}.