Solve 9.6+x=sqrt{3}x

$$9.6+x= \sqrt{ 3 } x$$

Solve for x

$$x = \frac{24 {(\sqrt{3} + 1)}}{5} \approx 13.113843876$$

Steps for Solving Linear Equation

Subtract \sqrt{3}x from both sides.

$$9.6+x-\sqrt{3}x=0$$

Subtract 9.6 from both sides. Anything subtracted from zero gives its negation.

$$x-\sqrt{3}x=-9.6$$

Combine all terms containing x.

$$\left(1-\sqrt{3}\right)x=-9.6$$

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

$$\frac{\left(1-\sqrt{3}\right)x}{1-\sqrt{3}}=-\frac{9.6}{1-\sqrt{3}}$$

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

$$x=-\frac{9.6}{1-\sqrt{3}}$$

Divide -9.6 by 1-\sqrt{3}.

$$x=\frac{24\sqrt{3}+24}{5}$$