Solve 3x=x+2kpi

$$3 x = x + 2 k \pi$$

Solve for k

$$k=\frac{x}{\pi }$$

Steps for Solving Linear Equation

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

$$x+2k\pi =3x$$

Subtract x from both sides.

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

Combine 3x and -x to get 2x.

$$2k\pi =2x$$

Cancel out 2 on both sides.

$$k\pi =x$$

The equation is in standard form.

$$\pi k=x$$

Divide both sides by \pi .

$$\frac{\pi k}{\pi }=\frac{x}{\pi }$$

Dividing by \pi undoes the multiplication by \pi .

$$k=\frac{x}{\pi }$$

Solve for x

$$x=\pi k$$

Solution Steps

Subtract x from both sides.

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

Combine 3x and -x to get 2x.

$$2x=2k\pi$$

Cancel out 2 on both sides.

$$x=k\pi$$