3(p-2)=9(p+2)

Solution for 3(p-2)=9(p+2) equation:

Simplifying
3(p + -2) = 9(p + 2)

Reorder the terms:
3(-2 + p) = 9(p + 2)
(-2 * 3 + p * 3) = 9(p + 2)
(-6 + 3p) = 9(p + 2)

Reorder the terms:
-6 + 3p = 9(2 + p)
-6 + 3p = (2 * 9 + p * 9)
-6 + 3p = (18 + 9p)

Solving
-6 + 3p = 18 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-6 + 3p + -9p = 18 + 9p + -9p

Combine like terms: 3p + -9p = -6p
-6 + -6p = 18 + 9p + -9p

Combine like terms: 9p + -9p = 0
-6 + -6p = 18 + 0
-6 + -6p = 18

Add '6' to each side of the equation.
-6 + 6 + -6p = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -6p = 18 + 6
-6p = 18 + 6

Combine like terms: 18 + 6 = 24
-6p = 24

Divide each side by '-6'.
p = -4

Simplifying
p = -4