What is the answer to |x+6|+12=12 ?

The answer to |x+6|+12=12 is x=-6

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|x+6|+12=12

∣ x + 6 ∣ + 12 = 12

x = - 6

Solution steps

∣ x + 6 ∣ + 12 = 12

Subtract

12

from both sides

∣ x + 6 ∣ + 12 - 12 = 12 - 12

Simplify

∣ x + 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x + 6 = 0

x + 6 = 0 : x = - 6

x = - 6

8 + ∣ 4 a - 4 ∣ = 24

- 3 ∣ 8 - m ∣ - 1 = 20

6 - ∣ 3 x ∣ = 2

\frac{x}{5} = 22

∣ 2 x + 3 ∣ + 9 = 7