3(P+2)=-(P-3)

Solution for 3(P+2)=-(P-3) equation:

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

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

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

Solving
6 + 3P = 3 + -1P

Solving for variable 'P'.

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

Add 'P' to each side of the equation.
6 + 3P + P = 3 + -1P + P

Combine like terms: 3P + P = 4P
6 + 4P = 3 + -1P + P

Combine like terms: -1P + P = 0
6 + 4P = 3 + 0
6 + 4P = 3

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

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

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

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

Simplifying
P = -0.75