Solve sqrt{3x}-2=2sqrt{3}+4

$$\sqrt{ 3x } -2=2 \sqrt{ 3 } +4$$

Solve for x

$$x=8\left(\sqrt{3}+2\right)\approx 29.856406461$$

Steps for Solving Radical Equations

Add 2 to both sides of the equation.

$$\sqrt{3x}-2-\left(-2\right)=2\sqrt{3}+4-\left(-2\right)$$

Subtracting -2 from itself leaves 0.

$$\sqrt{3x}=2\sqrt{3}+4-\left(-2\right)$$

Subtract -2 from 2\sqrt{3}+4.

$$\sqrt{3x}=2\sqrt{3}+6$$

Square both sides of the equation.

$$3x=24\sqrt{3}+48$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{24\sqrt{3}+48}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{24\sqrt{3}+48}{3}$$

Divide 48+24\sqrt{3} by 3.

$$x=8\sqrt{3}+16$$