3(p+2)=3(2p-4+9)

Solution for 3(p+2)=3(2p-4+9) equation:

Simplifying
3(p + 2) = 3(2p + -4 + 9)

Reorder the terms:
3(2 + p) = 3(2p + -4 + 9)
(2 * 3 + p * 3) = 3(2p + -4 + 9)
(6 + 3p) = 3(2p + -4 + 9)

Reorder the terms:
6 + 3p = 3(-4 + 9 + 2p)

Combine like terms: -4 + 9 = 5
6 + 3p = 3(5 + 2p)
6 + 3p = (5 * 3 + 2p * 3)
6 + 3p = (15 + 6p)

Solving
6 + 3p = 15 + 6p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-6p' to each side of the equation.
6 + 3p + -6p = 15 + 6p + -6p

Combine like terms: 3p + -6p = -3p
6 + -3p = 15 + 6p + -6p

Combine like terms: 6p + -6p = 0
6 + -3p = 15 + 0
6 + -3p = 15

Add '-6' to each side of the equation.
6 + -6 + -3p = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -3p = 15 + -6
-3p = 15 + -6

Combine like terms: 15 + -6 = 9
-3p = 9

Divide each side by '-3'.
p = -3

Simplifying
p = -3