Solve 3p+2p-10=4-5k+6

$$3p+2p-10 = 4-5k+6$$

Solve for k

$$k=4-p$$

Steps for Solving Linear Equation

Combine 3p and 2p to get 5p.

$$5p-10=4-5k+6$$

Add 4 and 6 to get 10.

$$5p-10=10-5k$$

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

$$10-5k=5p-10$$

Subtract 10 from both sides.

$$-5k=5p-10-10$$

Subtract 10 from -10 to get -20.

$$-5k=5p-20$$

Divide both sides by -5.

$$\frac{-5k}{-5}=\frac{5p-20}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$k=\frac{5p-20}{-5}$$

Divide -20+5p by -5.

$$k=4-p$$

Solve for p

$$p=4-k$$

Steps for Solving Linear Equation

Combine 3p and 2p to get 5p.

$$5p-10=4-5k+6$$

Add 4 and 6 to get 10.

$$5p-10=10-5k$$

Add 10 to both sides.

$$5p=10-5k+10$$

Add 10 and 10 to get 20.

$$5p=20-5k$$

Divide both sides by 5.

$$\frac{5p}{5}=\frac{20-5k}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$p=\frac{20-5k}{5}$$

Divide 20-5k by 5.

$$p=4-k$$