5(p+2)-3p+5=-5-8p

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Solution for 5(p+2)-3p+5=-5-8p equation: 


Simplifying
5(p + 2) + -3p + 5 = -5 + -8p

Reorder the terms:
5(2 + p) + -3p + 5 = -5 + -8p
(2 * 5 + p * 5) + -3p + 5 = -5 + -8p
(10 + 5p) + -3p + 5 = -5 + -8p

Reorder the terms:
10 + 5 + 5p + -3p = -5 + -8p

Combine like terms: 10 + 5 = 15
15 + 5p + -3p = -5 + -8p

Combine like terms: 5p + -3p = 2p
15 + 2p = -5 + -8p

Solving
15 + 2p = -5 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
15 + 2p + 8p = -5 + -8p + 8p

Combine like terms: 2p + 8p = 10p
15 + 10p = -5 + -8p + 8p

Combine like terms: -8p + 8p = 0
15 + 10p = -5 + 0
15 + 10p = -5

Add '-15' to each side of the equation.
15 + -15 + 10p = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 10p = -5 + -15
10p = -5 + -15

Combine like terms: -5 + -15 = -20
10p = -20

Divide each side by '10'.
p = -2

Simplifying
p = -2

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