Solve 1/3x-pi/6=pi

$$\frac { 1 } { 3 } x - \frac { \pi } { 6 } = \pi$$

Solve for x

$$x = \frac{7 \pi}{2} \approx 10.995574288$$

Steps for Solving Linear Equation

Add \frac{\pi }{6} to both sides.

$$\frac{1}{3}x=\pi +\frac{\pi }{6}$$

Combine \pi and \frac{\pi }{6} to get \frac{7}{6}\pi .

$$\frac{1}{3}x=\frac{7}{6}\pi$$

The equation is in standard form.

$$\frac{1}{3}x=\frac{7\pi }{6}$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{7\pi }{\frac{1}{3}\times 6}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$x=\frac{7\pi }{\frac{1}{3}\times 6}$$

Divide \frac{7\pi }{6} by \frac{1}{3} by multiplying \frac{7\pi }{6} by the reciprocal of \frac{1}{3}.

$$x=\frac{7\pi }{2}$$