Solve 7(3m-p)/p=5

$$\frac { 7 ( 3 m - p ) } { p } = 5$$

Solve for m

$$m=\frac{4p}{7}$$

$$p\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$7\left(3m-p\right)=5p$$

Use the distributive property to multiply 7 by 3m-p.

$$21m-7p=5p$$

Add 7p to both sides.

$$21m=5p+7p$$

Combine 5p and 7p to get 12p.

$$21m=12p$$

Divide both sides by 21.

$$\frac{21m}{21}=\frac{12p}{21}$$

Dividing by 21 undoes the multiplication by 21.

$$m=\frac{12p}{21}$$

Divide 12p by 21.

$$m=\frac{4p}{7}$$

Solve for p

$$p=\frac{7m}{4}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by p.

$$7\left(3m-p\right)=5p$$

Use the distributive property to multiply 7 by 3m-p.

$$21m-7p=5p$$

Subtract 5p from both sides.

$$21m-7p-5p=0$$

Combine -7p and -5p to get -12p.

$$21m-12p=0$$

Subtract 21m from both sides. Anything subtracted from zero gives its negation.

$$-12p=-21m$$

Divide both sides by -12.

$$\frac{-12p}{-12}=-\frac{21m}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$p=-\frac{21m}{-12}$$

Divide -21m by -12.

$$p=\frac{7m}{4}$$

Variable p cannot be equal to 0.

$$p=\frac{7m}{4}\text{, }p\neq 0$$