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\sqrt{5}+5=8x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x.
8x=\sqrt{5}+5
Swap sides so that all variable terms are on the left hand side.
\frac{8x}{8}=\frac{\sqrt{5}+5}{8}
Divide both sides by 8.
x=\frac{\sqrt{5}+5}{8}
Dividing by 8 undoes the multiplication by 8.