What is the answer to -7-|x+6|=-12 ?

The answer to -7-|x+6|=-12 is x=-11\lor x=-1

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-7-|x+6|=-12

- 7 - ∣ x + 6 ∣ = - 12

x = - 11 or x = - 1

Solution steps

- 7 - ∣ x + 6 ∣ = - 12

Move

7

to the right side

- ∣ x + 6 ∣ = - 5

Divide both sides by

- 1

∣ 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

∣ x - 1 ∣ + 4 = 4

∣ 7 a ∣ = 7

∣ - 8 x ∣ = - 24

∣ x ∣ - 12 = - 4

2 ∣ 4 x + 5 ∣ = 0

What is the answer to -7-|x+6|=-12 ?
The answer to -7-|x+6|=-12 is x=-11\lor x=-1
Solve for x: -7-|x+6|=-12
The solution is x=-11\lor x=-1