2[p-(2p+3)+2]=2(p+1)

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

Simplifying
2[p + -1(2p + 3) + 2] = 2(p + 1)

Reorder the terms:
2[p + -1(3 + 2p) + 2] = 2(p + 1)
2[p + (3 * -1 + 2p * -1) + 2] = 2(p + 1)
2[p + (-3 + -2p) + 2] = 2(p + 1)

Reorder the terms:
2[-3 + 2 + p + -2p] = 2(p + 1)

Combine like terms: -3 + 2 = -1
2[-1 + p + -2p] = 2(p + 1)

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

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

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

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

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

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

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

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

Divide each side by '-4'.
p = -1

Simplifying
p = -1