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

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

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

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

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

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

Combine like terms: p + -2p = -1p
2[-2 + -1p] = 2(p + 2)
[-2 * 2 + -1p * 2] = 2(p + 2)
[-4 + -2p] = 2(p + 2)

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

Solving
-4 + -2p = 4 + 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.
-4 + -2p + -2p = 4 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
-4 + -4p = 4 + 0
-4 + -4p = 4

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

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

Combine like terms: 4 + 4 = 8
-4p = 8

Divide each side by '-4'.
p = -2

Simplifying
p = -2