What is the answer to 9-5|-x-3|=-16 ?

The answer to 9-5|-x-3|=-16 is x=-8\lor x=2

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9-5|-x-3|=-16

9 - 5 ∣ - x - 3 ∣ = - 16

x = - 8 or x = 2

Solution steps

9 - 5 ∣ - x - 3 ∣ = - 16

Move

9

to the right side

- 5 ∣ - x - 3 ∣ = - 25

Divide both sides by

- 5

∣ - x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- x - 3 = - 5 or - x - 3 = 5

- x - 3 = - 5 or - x - 3 = 5

x = - 8 or x = 2

3 ∣ q + 6 ∣ = 4 q - 1

- 7 ∣ 6 k - 4 ∣ = - 56

x^{2} - 6 ∣ x ∣ = 0

∣ 4 x - 20 ∣ - 9 = - 5

∣ 4 - 2 x ∣ = 10

What is the answer to 9-5|-x-3|=-16 ?
The answer to 9-5|-x-3|=-16 is x=-8\lor x=2
Solve for x: 9-5|-x-3|=-16
The solution is x=-8\lor x=2