Solve 5(p+2)=5q-2

$$5 ( p + 2 ) = 5 q - 2$$

Solve for p

$$p = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by p+2.

$$5p+10=5q-2$$

Subtract 10 from both sides.

$$5p=5q-2-10$$

Subtract 10 from -2 to get -12.

$$5p=5q-12$$

Divide both sides by 5.

$$\frac{5p}{5}=\frac{5q-12}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$p=\frac{5q-12}{5}$$

Divide 5q-12 by 5.

$$p=q-\frac{12}{5}$$

Solve for q

$$q = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by p+2.

$$5p+10=5q-2$$

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

$$5q-2=5p+10$$

Add 2 to both sides.

$$5q=5p+10+2$$

Add 10 and 2 to get 12.

$$5q=5p+12$$

Divide both sides by 5.

$$\frac{5q}{5}=\frac{5p+12}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$q=\frac{5p+12}{5}$$

Divide 5p+12 by 5.

$$q=p+\frac{12}{5}$$