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10x=\sqrt{15}+5
Swap sides so that all variable terms are on the left hand side.
\frac{10x}{10}=\frac{\sqrt{15}+5}{10}
Divide both sides by 10.
x=\frac{\sqrt{15}+5}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{\sqrt{15}}{10}+\frac{1}{2}
Divide \sqrt{15}+5 by 10.