Solve xfrac{sqrt{3}}{3}=sqrt{3}(20-x)

$$x \frac{ \sqrt{ 3 } }{ 3 } = \sqrt{ 3 } (20-x)$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$x\sqrt{3}=3\sqrt{3}\left(20-x\right)$$

Use the distributive property to multiply 3\sqrt{3} by 20-x.

$$x\sqrt{3}=60\sqrt{3}-3\sqrt{3}x$$

Add 3\sqrt{3}x to both sides.

$$x\sqrt{3}+3\sqrt{3}x=60\sqrt{3}$$

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

$$4x\sqrt{3}=60\sqrt{3}$$

The equation is in standard form.

$$4\sqrt{3}x=60\sqrt{3}$$

Divide both sides by 4\sqrt{3}.

$$\frac{4\sqrt{3}x}{4\sqrt{3}}=\frac{60\sqrt{3}}{4\sqrt{3}}$$

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

$$x=\frac{60\sqrt{3}}{4\sqrt{3}}$$

Divide 60\sqrt{3} by 4\sqrt{3}.

$$x=15$$