What is the answer to 8-6|4x-1|=-16 ?

The answer to 8-6|4x-1|=-16 is x=-3/4 \lor x= 5/4

Solve for x: 8-6|4x-1|=-16

The solution is x=-3/4 \lor x= 5/4

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8 - 6 ∣ 4 x - 1 ∣ = - 16

x = - \frac{3}{4} or x = \frac{5}{4}

Decimal Notation

x = - 0.75, x = 1.25

Solution steps

8 - 6 ∣ 4 x - 1 ∣ = - 16

Move

8

to the right side

- 6 ∣ 4 x - 1 ∣ = - 24

Divide both sides by

- 6

∣ 4 x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 4 or 4 x - 1 = 4

4 x - 1 = - 4 or 4 x - 1 = 4

x = - \frac{3}{4} or x = \frac{5}{4}

∣ - 5 b - 4 ∣ + 6 = 7

10 = \frac{y}{3}

6 ∣ 2 x + 5 ∣ - 7 = 23

4 = ∣ v ∣ - 4

∣ x ∣ + 1 = 9

What is the answer to 8-6|4x-1|=-16 ?
The answer to 8-6|4x-1|=-16 is x=-3/4 \lor x= 5/4
Solve for x: 8-6|4x-1|=-16
The solution is x=-3/4 \lor x= 5/4