Solve 2pi+x/x=pi-x/x

$$\frac{ 2 \pi +x }{ x } = \frac{ \pi -x }{ x }$$

Solve for x

$$x = -\frac{\pi}{2} \approx -1.570796327$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$2\pi +x=\pi -x$$

Add x to both sides.

$$2\pi +x+x=\pi$$

Combine x and x to get 2x.

$$2\pi +2x=\pi$$

Subtract 2\pi from both sides.

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

Combine \pi and -2\pi to get -\pi .

$$2x=-\pi$$

Divide both sides by 2.

$$\frac{2x}{2}=-\frac{\pi }{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=-\frac{\pi }{2}$$

Variable x cannot be equal to 0.

$$x=-\frac{\pi }{2}\text{, }x\neq 0$$