2(p+3)=-4(p+1)

Solution for 2(p+3)=-4(p+1) equation:

Simplifying
2(p + 3) = -4(p + 1)

Reorder the terms:
2(3 + p) = -4(p + 1)
(3 * 2 + p * 2) = -4(p + 1)
(6 + 2p) = -4(p + 1)

Reorder the terms:
6 + 2p = -4(1 + p)
6 + 2p = (1 * -4 + p * -4)
6 + 2p = (-4 + -4p)

Solving
6 + 2p = -4 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
6 + 2p + 4p = -4 + -4p + 4p

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

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

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

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

Combine like terms: -4 + -6 = -10
6p = -10

Divide each side by '6'.
p = -1.666666667

Simplifying
p = -1.666666667