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

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

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

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

Reorder the terms:
6 + 3p = 2(-4 + 2p) + 9
6 + 3p = (-4 * 2 + 2p * 2) + 9
6 + 3p = (-8 + 4p) + 9

Reorder the terms:
6 + 3p = -8 + 9 + 4p

Combine like terms: -8 + 9 = 1
6 + 3p = 1 + 4p

Solving
6 + 3p = 1 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
6 + 3p + -4p = 1 + 4p + -4p

Combine like terms: 3p + -4p = -1p
6 + -1p = 1 + 4p + -4p

Combine like terms: 4p + -4p = 0
6 + -1p = 1 + 0
6 + -1p = 1

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

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

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

Divide each side by '-1'.
p = 5

Simplifying
p = 5