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

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

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

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

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

Solving
4 + 2p = -6 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
4 + 2p + -3p = -6 + 3p + -3p

Combine like terms: 2p + -3p = -1p
4 + -1p = -6 + 3p + -3p

Combine like terms: 3p + -3p = 0
4 + -1p = -6 + 0
4 + -1p = -6

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

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

Combine like terms: -6 + -4 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10