Solve pi/3*(2x-1)=pix/6

$$\frac{ \pi }{ 3 } \times (2x-1)= \frac{ \pi x }{ 6 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\pi \left(2x-1\right)=\pi x$$

Use the distributive property to multiply 2\pi by 2x-1.

$$4\pi x-2\pi =\pi x$$

Subtract \pi x from both sides.

$$4\pi x-2\pi -\pi x=0$$

Combine 4\pi x and -\pi x to get 3\pi x.

$$3\pi x-2\pi =0$$

Add 2\pi to both sides. Anything plus zero gives itself.

$$3\pi x=2\pi$$

Cancel out \pi on both sides.

$$3x=2$$

Divide both sides by 3.

$$x=\frac{2}{3}$$