Solve 3x-pi/4=pi-pi/2+2pi

$$3x- \frac{ \pi }{ 4 } = \pi - \frac{ \pi }{ 2 } +2 \pi$$

Solve for x

$$x = \frac{11 \pi}{12} \approx 2.879793266$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$12x-\pi =4\pi -2\pi +8\pi$$

Combine 4\pi and -2\pi to get 2\pi .

$$12x-\pi =2\pi +8\pi$$

Combine 2\pi and 8\pi to get 10\pi .

$$12x-\pi =10\pi$$

Add \pi to both sides.

$$12x=10\pi +\pi$$

Combine 10\pi and \pi to get 11\pi .

$$12x=11\pi$$

Divide both sides by 12.

$$\frac{12x}{12}=\frac{11\pi }{12}$$

Dividing by 12 undoes the multiplication by 12.

$$x=\frac{11\pi }{12}$$