Solve 300+x=sqrt{3}x

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

Solve for x

$$x=150\left(\sqrt{3}+1\right)\approx 409.807621135$$

Steps for Solving Linear Equation

Subtract \sqrt{3}x from both sides.

$$300+x-\sqrt{3}x=0$$

Subtract 300 from both sides. Anything subtracted from zero gives its negation.

$$x-\sqrt{3}x=-300$$

Combine all terms containing x.

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

Divide both sides by 1-\sqrt{3}.

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

Dividing by 1-\sqrt{3} undoes the multiplication by 1-\sqrt{3}.

$$x=-\frac{300}{1-\sqrt{3}}$$

Divide -300 by 1-\sqrt{3}.

$$x=150\sqrt{3}+150$$