Solve 5(p+3)+9=3(p-2)+6

$$5 ( p + 3 ) + 9 = 3 ( p - 2 ) + 6$$

Solve for p

$$p=-12$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by p+3.

$$5p+15+9=3\left(p-2\right)+6$$

Add 15 and 9 to get 24.

$$5p+24=3\left(p-2\right)+6$$

Use the distributive property to multiply 3 by p-2.

$$5p+24=3p-6+6$$

Add -6 and 6 to get 0.

$$5p+24=3p$$

Subtract 3p from both sides.

$$5p+24-3p=0$$

Combine 5p and -3p to get 2p.

$$2p+24=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$2p=-24$$

Divide both sides by 2.

$$p=\frac{-24}{2}$$

Divide -24 by 2 to get -12.

$$p=-12$$