What is the answer to -2|3x-9|+5=-7 ?

The answer to -2|3x-9|+5=-7 is x=1\lor x=5

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-2|3x-9|+5=-7

- 2 ∣ 3 x - 9 ∣ + 5 = - 7

x = 1 or x = 5

Solution steps

- 2 ∣ 3 x - 9 ∣ + 5 = - 7

Move

5

to the right side

- 2 ∣ 3 x - 9 ∣ = - 12

Divide both sides by

- 2

∣ 3 x - 9 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 6 or 3 x - 9 = 6

3 x - 9 = - 6 or 3 x - 9 = 6

x = 1 or x = 5

5 ∣ 2 x + 1 ∣ - 3 = 2

∣ (3 x - 5) (x + 2) ∣ = 4

0 = ∣ z - 5 ∣

- 4 ∣ 9 + x ∣ = - 40

0 = 3 - ∣ x + 4 ∣

What is the answer to -2|3x-9|+5=-7 ?
The answer to -2|3x-9|+5=-7 is x=1\lor x=5
Solve for x: -2|3x-9|+5=-7
The solution is x=1\lor x=5