What is the answer to 4|x+6|+8=28 ?

The answer to 4|x+6|+8=28 is x=-11\lor x=-1

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4|x+6|+8=28

4 ∣ x + 6 ∣ + 8 = 28

x = - 11 or x = - 1

Solution steps

4 ∣ x + 6 ∣ + 8 = 28

Move

8

to the right side

4 ∣ x + 6 ∣ = 20

Divide both sides by

4

∣ x + 6 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 6 = - 5 or x + 6 = 5

x + 6 = - 5 or x + 6 = 5

x = - 11 or x = - 1

∣ y + 3 ∣ = 5

- 2 ∣ 7 n - 1 ∣ + 4 = 0

81 = ∣ 9 x ∣

∣ 5 x - 2 ∣ + 3 = 9

- 12 = - 2 ∣ g ∣