Solve for x
x = \frac{200 \sqrt{3} - 80}{71} \approx 3.752255796
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5\sqrt{3}x+2x=40
Add 2x to both sides.
\left(5\sqrt{3}+2\right)x=40
Combine all terms containing x.
\frac{\left(5\sqrt{3}+2\right)x}{5\sqrt{3}+2}=\frac{40}{5\sqrt{3}+2}
Divide both sides by 5\sqrt{3}+2.
x=\frac{40}{5\sqrt{3}+2}
Dividing by 5\sqrt{3}+2 undoes the multiplication by 5\sqrt{3}+2.
x=\frac{200\sqrt{3}-80}{71}
Divide 40 by 5\sqrt{3}+2.
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