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

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

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

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

Combine like terms: 3p + -1p = 2p
3 + 2p = 2(3p + 3)

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

Solving
3 + 2p = 6 + 6p

Solving for variable 'p'.

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

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

Combine like terms: 2p + -6p = -4p
3 + -4p = 6 + 6p + -6p

Combine like terms: 6p + -6p = 0
3 + -4p = 6 + 0
3 + -4p = 6

Add '-3' to each side of the equation.
3 + -3 + -4p = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -4p = 6 + -3
-4p = 6 + -3

Combine like terms: 6 + -3 = 3
-4p = 3

Divide each side by '-4'.
p = -0.75

Simplifying
p = -0.75