3(p-2)=2(p+6)

Solution for 3(p-2)=2(p+6) equation:

Simplifying
3(p + -2) = 2(p + 6)

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

Reorder the terms:
-6 + 3p = 2(6 + p)
-6 + 3p = (6 * 2 + p * 2)
-6 + 3p = (12 + 2p)

Solving
-6 + 3p = 12 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-6 + 3p + -2p = 12 + 2p + -2p

Combine like terms: 3p + -2p = 1p
-6 + 1p = 12 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 1p = 12 + 0
-6 + 1p = 12

Add '6' to each side of the equation.
-6 + 6 + 1p = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 1p = 12 + 6
1p = 12 + 6

Combine like terms: 12 + 6 = 18
1p = 18

Divide each side by '1'.
p = 18

Simplifying
p = 18