Solve for x
x=\frac{5\left(\sqrt{3}-1\right)}{4}\approx 0.915063509
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2\sqrt{3}x+2x=5
Combine -2x and 4x to get 2x.
\left(2\sqrt{3}+2\right)x=5
Combine all terms containing x.
\frac{\left(2\sqrt{3}+2\right)x}{2\sqrt{3}+2}=\frac{5}{2\sqrt{3}+2}
Divide both sides by 2\sqrt{3}+2.
x=\frac{5}{2\sqrt{3}+2}
Dividing by 2\sqrt{3}+2 undoes the multiplication by 2\sqrt{3}+2.
x=\frac{5\sqrt{3}-5}{4}
Divide 5 by 2\sqrt{3}+2.
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