What is the answer to -2|3x-9|+1=-17 ?

The answer to -2|3x-9|+1=-17 is x=0\lor x=6

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-2|3x-9|+1=-17

- 2 ∣ 3 x - 9 ∣ + 1 = - 17

x = 0 or x = 6

Solution steps

- 2 ∣ 3 x - 9 ∣ + 1 = - 17

Move

1

to the right side

- 2 ∣ 3 x - 9 ∣ = - 18

Divide both sides by

- 2

∣ 3 x - 9 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 9 or 3 x - 9 = 9

3 x - 9 = - 9 or 3 x - 9 = 9

x = 0 or x = 6

∣ 8 x + 5 ∣ + 5 = 2

1 - ∣ 3 x - 2 ∣ = 10

∣ 3 + 7 k ∣ - 4 = 28

2 x + ∣ x - 6 ∣ = 30

- 10 ∣ - 6 + b ∣ = - 90

What is the answer to -2|3x-9|+1=-17 ?
The answer to -2|3x-9|+1=-17 is x=0\lor x=6
Solve for x: -2|3x-9|+1=-17
The solution is x=0\lor x=6