Solve 20sqrt{3}+60=(1+sqrt{3})x

$$20 \sqrt { 3 } + 60 = ( 1 + \sqrt { 3 } ) x$$

Solve for x

$$x=20\sqrt{3}\approx 34.641016151$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1+\sqrt{3} by x.

$$20\sqrt{3}+60=x+\sqrt{3}x$$

Swap sides so that all variable terms are on the left hand side.

$$x+\sqrt{3}x=20\sqrt{3}+60$$

Combine all terms containing x.

$$\left(1+\sqrt{3}\right)x=20\sqrt{3}+60$$

The equation is in standard form.

$$\left(\sqrt{3}+1\right)x=20\sqrt{3}+60$$

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

$$\frac{\left(\sqrt{3}+1\right)x}{\sqrt{3}+1}=\frac{20\sqrt{3}+60}{\sqrt{3}+1}$$

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

$$x=\frac{20\sqrt{3}+60}{\sqrt{3}+1}$$

Divide 20\sqrt{3}+60 by 1+\sqrt{3}.

$$x=20\sqrt{3}$$