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

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

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

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

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

Solving
-2 + 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.
-2 + 2p + -3p = 6 + 3p + -3p

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

Combine like terms: 3p + -3p = 0
-2 + -1p = 6 + 0
-2 + -1p = 6

Add '2' to each side of the equation.
-2 + 2 + -1p = 6 + 2

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

Combine like terms: 6 + 2 = 8
-1p = 8

Divide each side by '-1'.
p = -8

Simplifying
p = -8