Solve 1.6=x(sqrt{3}-1)

$$1.6=x( \sqrt{ 3 } -1)$$

Solve for x

$$x = \frac{4 {(\sqrt{3} + 1)}}{5} \approx 2.185640646$$

Steps for Solving Linear Equation

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

$$1.6=x\sqrt{3}-x$$

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

$$x\sqrt{3}-x=1.6$$

Combine all terms containing x.

$$\left(\sqrt{3}-1\right)x=1.6$$

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

$$\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{1.6}{\sqrt{3}-1}$$

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

$$x=\frac{1.6}{\sqrt{3}-1}$$

Divide 1.6 by \sqrt{3}-1.

$$x=\frac{4\sqrt{3}+4}{5}$$