Solve xsqrt{3}-x=frac{sqrt{3}}{3}*30

$$x \sqrt { 3 } - x = \frac { \sqrt { 3 } } { 3 } \cdot 30$$

Solve for x

$$x=5\sqrt{3}+15\approx 23.660254038$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3x\sqrt{3}-3x=30\sqrt{3}$$

Combine all terms containing x.

$$\left(3\sqrt{3}-3\right)x=30\sqrt{3}$$

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

$$\frac{\left(3\sqrt{3}-3\right)x}{3\sqrt{3}-3}=\frac{30\sqrt{3}}{3\sqrt{3}-3}$$

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

$$x=\frac{30\sqrt{3}}{3\sqrt{3}-3}$$

Divide 30\sqrt{3} by 3\sqrt{3}-3.

$$x=5\sqrt{3}+15$$