Solve 1=xleft(sqrt{3}-1right)

$$1 = x \left( \sqrt{ 3 } -1 \right)$$

Solve for x

$$x = \frac{\sqrt{3} + 1}{2} \approx 1.366025404$$

Steps for Solving Linear Equation

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

$$1=x\sqrt{3}-x$$

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

$$x\sqrt{3}-x=1$$

Combine all terms containing x.

$$\left(\sqrt{3}-1\right)x=1$$

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

$$\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{1}{\sqrt{3}-1}$$

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

$$x=\frac{1}{\sqrt{3}-1}$$

Divide 1 by \sqrt{3}-1.

$$x=\frac{\sqrt{3}+1}{2}$$