What is the answer to 6|-8x-9|-12=30 ?

The answer to 6|-8x-9|-12=30 is x=-2\lor x=-1/4

Solve for x: 6|-8x-9|-12=30

The solution is x=-2\lor x=-1/4

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6 ∣ - 8 x - 9 ∣ - 12 = 30

x = - 2 or x = - \frac{1}{4}

Decimal Notation

x = - 2, x = - 0.25

Solution steps

6 ∣ - 8 x - 9 ∣ - 12 = 30

Move

12

to the right side

6 ∣ - 8 x - 9 ∣ = 42

Divide both sides by

6

∣ - 8 x - 9 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 8 x - 9 = - 7 or - 8 x - 9 = 7

- 8 x - 9 = - 7 or - 8 x - 9 = 7

x = - 2 or x = - \frac{1}{4}

∣ b - 5 ∣ = 2

∣ b - 5 ∣ = 3

∣ 4 x - 1.5 ∣ = 3

4 ∣ x - 3 ∣ + 4 = 8

∣ 3 x - 5 ∣ = 5

What is the answer to 6|-8x-9|-12=30 ?
The answer to 6|-8x-9|-12=30 is x=-2\lor x=-1/4
Solve for x: 6|-8x-9|-12=30
The solution is x=-2\lor x=-1/4