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

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

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

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

$$\left(-x\right)\sqrt{3}+24\sqrt{3}-3x\sqrt{3}=0$$

Multiply -1 and 3 to get -3.

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

Combine -x\sqrt{3} and -3x\sqrt{3} to get -4x\sqrt{3}.

$$-4x\sqrt{3}+24\sqrt{3}=0$$

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

$$-4x\sqrt{3}=-24\sqrt{3}$$

The equation is in standard form.

$$\left(-4\sqrt{3}\right)x=-24\sqrt{3}$$

Divide both sides by -4\sqrt{3}.

$$\frac{\left(-4\sqrt{3}\right)x}{-4\sqrt{3}}=-\frac{24\sqrt{3}}{-4\sqrt{3}}$$

Dividing by -4\sqrt{3} undoes the multiplication by -4\sqrt{3}.

$$x=-\frac{24\sqrt{3}}{-4\sqrt{3}}$$

Divide -24\sqrt{3} by -4\sqrt{3}.

$$x=6$$