Solve 2(x-pi/4)+pi/6

$$2 ( x - \frac { \pi } { 4 } ) + \frac { \pi } { 6 }$$

Evaluate

$$2x-\frac{\pi }{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{4}{4}.

$$2\left(\frac{4x}{4}-\frac{\pi }{4}\right)+\frac{\pi }{6}$$

Since \frac{4x}{4} and \frac{\pi }{4} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{4x-\pi }{4}+\frac{\pi }{6}$$

Cancel out 4, the greatest common factor in 2 and 4.

$$\frac{4x-\pi }{2}+\frac{\pi }{6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 6 is 6. Multiply \frac{4x-\pi }{2} times \frac{3}{3}.

$$\frac{3\left(4x-\pi \right)}{6}+\frac{\pi }{6}$$

Since \frac{3\left(4x-\pi \right)}{6} and \frac{\pi }{6} have the same denominator, add them by adding their numerators.

$$\frac{3\left(4x-\pi \right)+\pi }{6}$$

Do the multiplications in 3\left(4x-\pi \right)+\pi .

$$\frac{12x-3\pi +\pi }{6}$$

Combine like terms in 12x-3\pi +\pi .

$$\frac{12x-2\pi }{6}$$

Expand

$$2x-\frac{\pi }{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{4}{4}.

$$2\left(\frac{4x}{4}-\frac{\pi }{4}\right)+\frac{\pi }{6}$$

Since \frac{4x}{4} and \frac{\pi }{4} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{4x-\pi }{4}+\frac{\pi }{6}$$

Cancel out 4, the greatest common factor in 2 and 4.

$$\frac{4x-\pi }{2}+\frac{\pi }{6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 6 is 6. Multiply \frac{4x-\pi }{2} times \frac{3}{3}.

$$\frac{3\left(4x-\pi \right)}{6}+\frac{\pi }{6}$$

Since \frac{3\left(4x-\pi \right)}{6} and \frac{\pi }{6} have the same denominator, add them by adding their numerators.

$$\frac{3\left(4x-\pi \right)+\pi }{6}$$

Do the multiplications in 3\left(4x-\pi \right)+\pi .

$$\frac{12x-3\pi +\pi }{6}$$

Combine like terms in 12x-3\pi +\pi .

$$\frac{12x-2\pi }{6}$$