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

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Solution for 2(8-p)+5p=5(p+5)+1 equation: 


Simplifying
2(8 + -1p) + 5p = 5(p + 5) + 1
(8 * 2 + -1p * 2) + 5p = 5(p + 5) + 1
(16 + -2p) + 5p = 5(p + 5) + 1

Combine like terms: -2p + 5p = 3p
16 + 3p = 5(p + 5) + 1

Reorder the terms:
16 + 3p = 5(5 + p) + 1
16 + 3p = (5 * 5 + p * 5) + 1
16 + 3p = (25 + 5p) + 1

Reorder the terms:
16 + 3p = 25 + 1 + 5p

Combine like terms: 25 + 1 = 26
16 + 3p = 26 + 5p

Solving
16 + 3p = 26 + 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.
16 + 3p + -5p = 26 + 5p + -5p

Combine like terms: 3p + -5p = -2p
16 + -2p = 26 + 5p + -5p

Combine like terms: 5p + -5p = 0
16 + -2p = 26 + 0
16 + -2p = 26

Add '-16' to each side of the equation.
16 + -16 + -2p = 26 + -16

Combine like terms: 16 + -16 = 0
0 + -2p = 26 + -16
-2p = 26 + -16

Combine like terms: 26 + -16 = 10
-2p = 10

Divide each side by '-2'.
p = -5

Simplifying
p = -5

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