Solve x/3-2pi=2(x-pi/4)

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

Solve for x

$$x = -\frac{9 \pi}{10} \approx -2.827433388$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4x-24\pi =24\left(x-\frac{\pi }{4}\right)$$

Use the distributive property to multiply 24 by x-\frac{\pi }{4}.

$$4x-24\pi =24x+24\left(-\frac{\pi }{4}\right)$$

Cancel out 4, the greatest common factor in 24 and 4.

$$4x-24\pi =24x-6\pi$$

Subtract 24x from both sides.

$$4x-24\pi -24x=-6\pi$$

Combine 4x and -24x to get -20x.

$$-20x-24\pi =-6\pi$$

Add 24\pi to both sides.

$$-20x=-6\pi +24\pi$$

Combine -6\pi and 24\pi to get 18\pi .

$$-20x=18\pi$$

Divide both sides by -20.

$$\frac{-20x}{-20}=\frac{18\pi }{-20}$$

Dividing by -20 undoes the multiplication by -20.

$$x=\frac{18\pi }{-20}$$

Divide 18\pi by -20.

$$x=-\frac{9\pi }{10}$$