Solve x-frac{sqrt{2}-1}{3}=0

$$x- \frac{ \sqrt{ 2 } -1 }{ 3 } = 0$$

Solve for x

$$x=\frac{\sqrt{2}-1}{3}\approx 0.138071187$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3x-\left(\sqrt{2}-1\right)=0$$

To find the opposite of \sqrt{2}-1, find the opposite of each term.

$$3x-\sqrt{2}-\left(-1\right)=0$$

The opposite of -1 is 1.

$$3x-\sqrt{2}+1=0$$

Add \sqrt{2} to both sides. Anything plus zero gives itself.

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

Subtract 1 from both sides.

$$3x=\sqrt{2}-1$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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