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

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

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

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

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

Remove parenthesis around (-4 + 2p)
6 + 3p = -4 + 2p + 9

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

Combine like terms: -4 + 9 = 5
6 + 3p = 5 + 2p

Solving
6 + 3p = 5 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
6 + 3p + -2p = 5 + 2p + -2p

Combine like terms: 3p + -2p = 1p
6 + 1p = 5 + 2p + -2p

Combine like terms: 2p + -2p = 0
6 + 1p = 5 + 0
6 + 1p = 5

Add '-6' to each side of the equation.
6 + -6 + 1p = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1p = 5 + -6
1p = 5 + -6

Combine like terms: 5 + -6 = -1
1p = -1

Divide each side by '1'.
p = -1

Simplifying
p = -1