2p+8=5-(5p+4)

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Solution for 2p+8=5-(5p+4) equation:


Simplifying
2p + 8 = 5 + -1(5p + 4)

Reorder the terms:
8 + 2p = 5 + -1(5p + 4)

Reorder the terms:
8 + 2p = 5 + -1(4 + 5p)
8 + 2p = 5 + (4 * -1 + 5p * -1)
8 + 2p = 5 + (-4 + -5p)

Combine like terms: 5 + -4 = 1
8 + 2p = 1 + -5p

Solving
8 + 2p = 1 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
8 + 2p + 5p = 1 + -5p + 5p

Combine like terms: 2p + 5p = 7p
8 + 7p = 1 + -5p + 5p

Combine like terms: -5p + 5p = 0
8 + 7p = 1 + 0
8 + 7p = 1

Add '-8' to each side of the equation.
8 + -8 + 7p = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 7p = 1 + -8
7p = 1 + -8

Combine like terms: 1 + -8 = -7
7p = -7

Divide each side by '7'.
p = -1

Simplifying
p = -1

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