Solve pi(x-7)/3=1/2

$$\frac { \pi ( x - 7 ) } { 3 } = \frac { 1 } { 2 }$$

Solve for x

$$x=\frac{3}{2\pi }+7\approx 7.477464829$$

Steps for Solving Linear Equation

Multiply both sides by 3.

$$\pi \left(x-7\right)=\frac{1}{2}\times 3$$

Use the distributive property to multiply \pi by x-7.

$$\pi x-7\pi =\frac{1}{2}\times 3$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\pi x-7\pi =\frac{3}{2}$$

Add 7\pi to both sides.

$$\pi x=\frac{3}{2}+7\pi$$

The equation is in standard form.

$$\pi x=7\pi +\frac{3}{2}$$

Divide both sides by \pi .

$$\frac{\pi x}{\pi }=\frac{7\pi +\frac{3}{2}}{\pi }$$

Dividing by \pi undoes the multiplication by \pi .

$$x=\frac{7\pi +\frac{3}{2}}{\pi }$$

Divide \frac{3}{2}+7\pi by \pi .

$$x=\frac{3}{2\pi }+7$$