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

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

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

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

Reorder the terms:
2 + p = 5 + -4(2 + p)
2 + p = 5 + (2 * -4 + p * -4)
2 + p = 5 + (-8 + -4p)

Combine like terms: 5 + -8 = -3
2 + p = -3 + -4p

Solving
2 + p = -3 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
2 + p + 4p = -3 + -4p + 4p

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

Combine like terms: -4p + 4p = 0
2 + 5p = -3 + 0
2 + 5p = -3

Add '-2' to each side of the equation.
2 + -2 + 5p = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5p = -3 + -2
5p = -3 + -2

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

Divide each side by '5'.
p = -1

Simplifying
p = -1