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\sqrt{5}x=2-24\sqrt{5}-7
Subtract 7 from both sides.
\sqrt{5}x=-5-24\sqrt{5}
Subtract 7 from 2 to get -5.
\sqrt{5}x=-24\sqrt{5}-5
The equation is in standard form.
\frac{\sqrt{5}x}{\sqrt{5}}=\frac{-24\sqrt{5}-5}{\sqrt{5}}
Divide both sides by \sqrt{5}.
x=\frac{-24\sqrt{5}-5}{\sqrt{5}}
Dividing by \sqrt{5} undoes the multiplication by \sqrt{5}.
x=-\sqrt{5}-24
Divide -5-24\sqrt{5} by \sqrt{5}.