2[p-(4p+8)+2]=2(p+6)

Solution for 2[p-(4p+8)+2]=2(p+6) equation:

Simplifying
2[p + -1(4p + 8) + 2] = 2(p + 6)

Reorder the terms:
2[p + -1(8 + 4p) + 2] = 2(p + 6)
2[p + (8 * -1 + 4p * -1) + 2] = 2(p + 6)
2[p + (-8 + -4p) + 2] = 2(p + 6)

Reorder the terms:
2[-8 + 2 + p + -4p] = 2(p + 6)

Combine like terms: -8 + 2 = -6
2[-6 + p + -4p] = 2(p + 6)

Combine like terms: p + -4p = -3p
2[-6 + -3p] = 2(p + 6)
[-6 * 2 + -3p * 2] = 2(p + 6)
[-12 + -6p] = 2(p + 6)

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

Solving
-12 + -6p = 12 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-12 + -6p + -2p = 12 + 2p + -2p

Combine like terms: -6p + -2p = -8p
-12 + -8p = 12 + 2p + -2p

Combine like terms: 2p + -2p = 0
-12 + -8p = 12 + 0
-12 + -8p = 12

Add '12' to each side of the equation.
-12 + 12 + -8p = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -8p = 12 + 12
-8p = 12 + 12

Combine like terms: 12 + 12 = 24
-8p = 24

Divide each side by '-8'.
p = -3

Simplifying
p = -3