What is the answer to 8+2|8p+8|=72 ?

The answer to 8+2|8p+8|=72 is p=-5\lor p=3

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8+2|8p+8|=72

8 + 2 ∣ 8 p + 8 ∣ = 72

p = - 5 or p = 3

Solution steps

8 + 2 ∣ 8 p + 8 ∣ = 72

Move

8

to the right side

2 ∣ 8 p + 8 ∣ = 64

Divide both sides by

2

∣ 8 p + 8 ∣ = 32

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 p + 8 = - 32 or 8 p + 8 = 32

8 p + 8 = - 32 or 8 p + 8 = 32

p = - 5 or p = 3

∣ 3 x + 2 ∣ = 4 x - 16

- 7 ∣ t ∣ = 42

∣ 8 m - 5 ∣ = - 13

\frac{∣ m ∣}{2} - 1 = - 3

7 ∣ x - 6 ∣ = 10