2[p-(2p+13)+8]=2(p+5)

Solution for 2[p-(2p+13)+8]=2(p+5) equation:

Simplifying
2[p + -1(2p + 13) + 8] = 2(p + 5)

Reorder the terms:
2[p + -1(13 + 2p) + 8] = 2(p + 5)
2[p + (13 * -1 + 2p * -1) + 8] = 2(p + 5)
2[p + (-13 + -2p) + 8] = 2(p + 5)

Reorder the terms:
2[-13 + 8 + p + -2p] = 2(p + 5)

Combine like terms: -13 + 8 = -5
2[-5 + p + -2p] = 2(p + 5)

Combine like terms: p + -2p = -1p
2[-5 + -1p] = 2(p + 5)
[-5 * 2 + -1p * 2] = 2(p + 5)
[-10 + -2p] = 2(p + 5)

Reorder the terms:
-10 + -2p = 2(5 + p)
-10 + -2p = (5 * 2 + p * 2)
-10 + -2p = (10 + 2p)

Solving
-10 + -2p = 10 + 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.
-10 + -2p + -2p = 10 + 2p + -2p

Combine like terms: -2p + -2p = -4p
-10 + -4p = 10 + 2p + -2p

Combine like terms: 2p + -2p = 0
-10 + -4p = 10 + 0
-10 + -4p = 10

Add '10' to each side of the equation.
-10 + 10 + -4p = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -4p = 10 + 10
-4p = 10 + 10

Combine like terms: 10 + 10 = 20
-4p = 20

Divide each side by '-4'.
p = -5

Simplifying
p = -5