Solve for x
x=2\left(\sqrt{5}+1\right)\approx 6.472135955
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\sqrt{5}x-x=8
Subtract x from both sides.
\left(\sqrt{5}-1\right)x=8
Combine all terms containing x.
\frac{\left(\sqrt{5}-1\right)x}{\sqrt{5}-1}=\frac{8}{\sqrt{5}-1}
Divide both sides by \sqrt{5}-1.
x=\frac{8}{\sqrt{5}-1}
Dividing by \sqrt{5}-1 undoes the multiplication by \sqrt{5}-1.
x=2\sqrt{5}+2
Divide 8 by \sqrt{5}-1.
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