2(p+1)=3(p-1)

Solution for 2(p+1)=3(p-1) equation:

Simplifying
2(p + 1) = 3(p + -1)

Reorder the terms:
2(1 + p) = 3(p + -1)
(1 * 2 + p * 2) = 3(p + -1)
(2 + 2p) = 3(p + -1)

Reorder the terms:
2 + 2p = 3(-1 + p)
2 + 2p = (-1 * 3 + p * 3)
2 + 2p = (-3 + 3p)

Solving
2 + 2p = -3 + 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.
2 + 2p + -3p = -3 + 3p + -3p

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

Combine like terms: 3p + -3p = 0
2 + -1p = -3 + 0
2 + -1p = -3

Add '-2' to each side of the equation.
2 + -2 + -1p = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = -3 + -2
-1p = -3 + -2

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

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

Simplifying
p = 5