What is the answer to |3x+27|-16=-16 ?

The answer to |3x+27|-16=-16 is x=-9

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|3x+27|-16=-16

∣ 3 x + 27 ∣ - 16 = - 16

x = - 9

Solution steps

∣ 3 x + 27 ∣ - 16 = - 16

Add

16

to both sides

∣ 3 x + 27 ∣ - 16 + 16 = - 16 + 16

Simplify

∣ 3 x + 27 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x + 27 = 0

3 x + 27 = 0 : x = - 9

x = - 9

∣ 16 x - 9 ∣ = 10

3 ∣ 2 x + 7 ∣ = 3 x + 12

- 10 ∣ n - 4 ∣ = - 60

∣ 2 x + 12 ∣ = 3 x

4 - ∣ x + 2 ∣ = 17