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5\sqrt{5}+3x+6505=A
Swap sides so that all variable terms are on the left hand side.
3x+6505=A-5\sqrt{5}
Subtract 5\sqrt{5} from both sides.
3x=A-5\sqrt{5}-6505
Subtract 6505 from both sides.
\frac{3x}{3}=\frac{A-5\sqrt{5}-6505}{3}
Divide both sides by 3.
x=\frac{A-5\sqrt{5}-6505}{3}
Dividing by 3 undoes the multiplication by 3.