Solve m=x6-3p/x+20

$$m = \frac { x 6 - 3 p } { x + 20 }$$

Solve for p

$$p=\frac{-m\left(x+20\right)+x_{6}}{3}$$

$$x\neq -20$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x+20.

$$m\left(x+20\right)=x_{6}-3p$$

Use the distributive property to multiply m by x+20.

$$mx+20m=x_{6}-3p$$

Swap sides so that all variable terms are on the left hand side.

$$x_{6}-3p=mx+20m$$

Subtract x_{6} from both sides.

$$-3p=mx+20m-x_{6}$$

The equation is in standard form.

$$-3p=mx-x_{6}+20m$$

Divide both sides by -3.

$$\frac{-3p}{-3}=\frac{mx-x_{6}+20m}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$p=\frac{mx-x_{6}+20m}{-3}$$

Divide mx+20m-x_{6} by -3.

$$p=\frac{-mx+x_{6}-20m}{3}$$

Solve for m

$$m=-\frac{3p-x_{6}}{x+20}$$

$$x\neq -20$$