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

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

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

Reorder the terms:
2(6 + 3p) = -1(3 + -1p)
(6 * 2 + 3p * 2) = -1(3 + -1p)
(12 + 6p) = -1(3 + -1p)
12 + 6p = (3 * -1 + -1p * -1)
12 + 6p = (-3 + 1p)

Solving
12 + 6p = -3 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
12 + 6p + -1p = -3 + 1p + -1p

Combine like terms: 6p + -1p = 5p
12 + 5p = -3 + 1p + -1p

Combine like terms: 1p + -1p = 0
12 + 5p = -3 + 0
12 + 5p = -3

Add '-12' to each side of the equation.
12 + -12 + 5p = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 5p = -3 + -12
5p = -3 + -12

Combine like terms: -3 + -12 = -15
5p = -15

Divide each side by '5'.
p = -3

Simplifying
p = -3