Solve (frac{sqrt{3}}{3}+1)x=100

$$( \frac { \sqrt { 3 } } { 3 } + 1 ) x = 100$$

Solve for x

$$x=150-50\sqrt{3}\approx 63.397459622$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3\left(\frac{\sqrt{3}}{3}+1\right)x=300$$

Use the distributive property to multiply 3 by \frac{\sqrt{3}}{3}+1.

$$\left(3\times \frac{\sqrt{3}}{3}+3\right)x=300$$

Express 3\times \frac{\sqrt{3}}{3} as a single fraction.

$$\left(\frac{3\sqrt{3}}{3}+3\right)x=300$$

Cancel out 3 and 3.

$$\left(\sqrt{3}+3\right)x=300$$

Divide both sides by \sqrt{3}+3.

$$\frac{\left(\sqrt{3}+3\right)x}{\sqrt{3}+3}=\frac{300}{\sqrt{3}+3}$$

Dividing by \sqrt{3}+3 undoes the multiplication by \sqrt{3}+3.

$$x=\frac{300}{\sqrt{3}+3}$$

Divide 300 by \sqrt{3}+3.

$$x=150-50\sqrt{3}$$