2(p+1)=3p-6

Solution for 2(p+1)=3p-6 equation:

Simplifying
2(p + 1) = 3p + -6

Reorder the terms:
2(1 + p) = 3p + -6
(1 * 2 + p * 2) = 3p + -6
(2 + 2p) = 3p + -6

Reorder the terms:
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