2[p-2(p+1)]-1=8p+25

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Solution for 2[p-2(p+1)]-1=8p+25 equation:


Simplifying
2[p + -2(p + 1)] + -1 = 8p + 25

Reorder the terms:
2[p + -2(1 + p)] + -1 = 8p + 25
2[p + (1 * -2 + p * -2)] + -1 = 8p + 25
2[p + (-2 + -2p)] + -1 = 8p + 25

Reorder the terms:
2[-2 + p + -2p] + -1 = 8p + 25

Combine like terms: p + -2p = -1p
2[-2 + -1p] + -1 = 8p + 25
[-2 * 2 + -1p * 2] + -1 = 8p + 25
[-4 + -2p] + -1 = 8p + 25

Reorder the terms:
-4 + -1 + -2p = 8p + 25

Combine like terms: -4 + -1 = -5
-5 + -2p = 8p + 25

Reorder the terms:
-5 + -2p = 25 + 8p

Solving
-5 + -2p = 25 + 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.
-5 + -2p + -8p = 25 + 8p + -8p

Combine like terms: -2p + -8p = -10p
-5 + -10p = 25 + 8p + -8p

Combine like terms: 8p + -8p = 0
-5 + -10p = 25 + 0
-5 + -10p = 25

Add '5' to each side of the equation.
-5 + 5 + -10p = 25 + 5

Combine like terms: -5 + 5 = 0
0 + -10p = 25 + 5
-10p = 25 + 5

Combine like terms: 25 + 5 = 30
-10p = 30

Divide each side by '-10'.
p = -3

Simplifying
p = -3

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