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 + 2p) + 9
6 + 3p = (4 * 3 + 2p * 3) + 9
6 + 3p = (12 + 6p) + 9

Reorder the terms:
6 + 3p = 12 + 9 + 6p

Combine like terms: 12 + 9 = 21
6 + 3p = 21 + 6p

Solving
6 + 3p = 21 + 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 = 21 + 6p + -6p

Combine like terms: 3p + -6p = -3p
6 + -3p = 21 + 6p + -6p

Combine like terms: 6p + -6p = 0
6 + -3p = 21 + 0
6 + -3p = 21

Add '-6' to each side of the equation.
6 + -6 + -3p = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -3p = 21 + -6
-3p = 21 + -6

Combine like terms: 21 + -6 = 15
-3p = 15

Divide each side by '-3'.
p = -5

Simplifying
p = -5