Solve frac{xsqrt{3}}{3}+frac{24sqrt{3}}{3}=xsqrt{3}

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

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

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

Subtract 3x\sqrt{3} from both sides.

$$x\sqrt{3}+24\sqrt{3}-3x\sqrt{3}=0$$

Combine x\sqrt{3} and -3x\sqrt{3} to get -2x\sqrt{3}.

$$-2x\sqrt{3}+24\sqrt{3}=0$$

Subtract 24\sqrt{3} from both sides. Anything subtracted from zero gives its negation.

$$-2x\sqrt{3}=-24\sqrt{3}$$

The equation is in standard form.

$$\left(-2\sqrt{3}\right)x=-24\sqrt{3}$$

Divide both sides by -2\sqrt{3}.

$$\frac{\left(-2\sqrt{3}\right)x}{-2\sqrt{3}}=-\frac{24\sqrt{3}}{-2\sqrt{3}}$$

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

$$x=-\frac{24\sqrt{3}}{-2\sqrt{3}}$$

Divide -24\sqrt{3} by -2\sqrt{3}.

$$x=12$$