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 = -1
-1p = -1

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

Simplifying
p = 1