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ax^{3}=15-b^{3}
Subtract b^{3} from both sides.
x^{3}a=15-b^{3}
The equation is in standard form.
\frac{x^{3}a}{x^{3}}=\frac{15-b^{3}}{x^{3}}
Divide both sides by x^{3}.
a=\frac{15-b^{3}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.