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4x-5=12+\sqrt{5}
Add \sqrt{5} to both sides.
4x=12+\sqrt{5}+5
Add 5 to both sides.
4x=17+\sqrt{5}
Add 12 and 5 to get 17.
4x=\sqrt{5}+17
The equation is in standard form.
\frac{4x}{4}=\frac{\sqrt{5}+17}{4}
Divide both sides by 4.
x=\frac{\sqrt{5}+17}{4}
Dividing by 4 undoes the multiplication by 4.