What is the answer to |x+12|-16=2 ?

The answer to |x+12|-16=2 is x=-30\lor x=6

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|x+12|-16=2

∣ x + 12 ∣ - 16 = 2

x = - 30 or x = 6

Solution steps

∣ x + 12 ∣ - 16 = 2

Move

16

to the right side

∣ x + 12 ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 12 = - 18 or x + 12 = 18

x + 12 = - 18 or x + 12 = 18

x = - 30 or x = 6

5 - \frac{6 x}{5} = 12

∣ 5 x + 7 ∣ = 38

3 - \frac{1}{4} x = 4

5 = ∣ x ∣

∣ X + 10 ∣ + 2 = 5