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15x=2+a^{2}
Swap sides so that all variable terms are on the left hand side.
15x=a^{2}+2
The equation is in standard form.
\frac{15x}{15}=\frac{a^{2}+2}{15}
Divide both sides by 15.
x=\frac{a^{2}+2}{15}
Dividing by 15 undoes the multiplication by 15.