2p+(2p-(p-4))=-(p-(5-p))

Solution for 2p+(2p-(p-4))=-(p-(5-p)) equation:

Simplifying
2p + (2p + -1(p + -4)) = -1(p + -1(5 + -1p))

Reorder the terms:
2p + (2p + -1(-4 + p)) = -1(p + -1(5 + -1p))
2p + (2p + (-4 * -1 + p * -1)) = -1(p + -1(5 + -1p))
2p + (2p + (4 + -1p)) = -1(p + -1(5 + -1p))

Reorder the terms:
2p + (4 + 2p + -1p) = -1(p + -1(5 + -1p))

Combine like terms: 2p + -1p = 1p
2p + (4 + 1p) = -1(p + -1(5 + -1p))

Remove parenthesis around (4 + 1p)
2p + 4 + 1p = -1(p + -1(5 + -1p))

Reorder the terms:
4 + 2p + 1p = -1(p + -1(5 + -1p))

Combine like terms: 2p + 1p = 3p
4 + 3p = -1(p + -1(5 + -1p))
4 + 3p = -1(p + (5 * -1 + -1p * -1))
4 + 3p = -1(p + (-5 + 1p))

Reorder the terms:
4 + 3p = -1(-5 + p + 1p)

Combine like terms: p + 1p = 2p
4 + 3p = -1(-5 + 2p)
4 + 3p = (-5 * -1 + 2p * -1)
4 + 3p = (5 + -2p)

Solving
4 + 3p = 5 + -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 + 3p + 2p = 5 + -2p + 2p

Combine like terms: 3p + 2p = 5p
4 + 5p = 5 + -2p + 2p

Combine like terms: -2p + 2p = 0
4 + 5p = 5 + 0
4 + 5p = 5

Add '-4' to each side of the equation.
4 + -4 + 5p = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 5p = 5 + -4
5p = 5 + -4

Combine like terms: 5 + -4 = 1
5p = 1

Divide each side by '5'.
p = 0.2

Simplifying
p = 0.2