What is the answer to -3|-4x-6|+6=-24 ?

The answer to -3|-4x-6|+6=-24 is x=-4\lor x=1

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-3|-4x-6|+6=-24

- 3 ∣ - 4 x - 6 ∣ + 6 = - 24

x = - 4 or x = 1

Solution steps

- 3 ∣ - 4 x - 6 ∣ + 6 = - 24

Move

6

to the right side

- 3 ∣ - 4 x - 6 ∣ = - 30

Divide both sides by

- 3

∣ - 4 x - 6 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x - 6 = - 10 or - 4 x - 6 = 10

- 4 x - 6 = - 10 or - 4 x - 6 = 10

x = - 4 or x = 1

∣ 14 y + 8 ∣ + 3 = 2

- 5 ∣ x - 7 ∣ = - 30

2 x^{2} - 3 ∣ x + 3 ∣ + 5 - 8 = 0

9 ∣ 8 x + 3 ∣ - 9 = 18

∣ x ∣ + 8 = 17

What is the answer to -3|-4x-6|+6=-24 ?
The answer to -3|-4x-6|+6=-24 is x=-4\lor x=1
Solve for x: -3|-4x-6|+6=-24
The solution is x=-4\lor x=1