Solve frac{-sqrt{3}}{3}x=-sqrt{3}x+2sqrt{3}

$$\frac{ - \sqrt{ 3 } }{ 3 } x = - \sqrt{ 3 } x+2 \sqrt{ 3 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(-\sqrt{3}\right)x=3\left(-\sqrt{3}\right)x+6\sqrt{3}$$

Subtract 3\left(-\sqrt{3}\right)x from both sides.

$$\left(-\sqrt{3}\right)x-3\left(-\sqrt{3}\right)x=6\sqrt{3}$$

Combine \left(-\sqrt{3}\right)x and -3\left(-\sqrt{3}\right)x to get -2\left(-\sqrt{3}\right)x.

$$-2\left(-\sqrt{3}\right)x=6\sqrt{3}$$

Multiply -2 and -1 to get 2.

$$2\sqrt{3}x=6\sqrt{3}$$

Divide both sides by 2\sqrt{3}.

$$\frac{2\sqrt{3}x}{2\sqrt{3}}=\frac{6\sqrt{3}}{2\sqrt{3}}$$

Dividing by 2\sqrt{3} undoes the multiplication by 2\sqrt{3}.

$$x=\frac{6\sqrt{3}}{2\sqrt{3}}$$

Divide 6\sqrt{3} by 2\sqrt{3}.

$$x=3$$