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

The answer to |-4x-1|-1=6 is x=-2\lor x= 3/2

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

The solution is x=-2\lor x= 3/2

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∣ - 4 x - 1 ∣ - 1 = 6

x = - 2 or x = \frac{3}{2}

Decimal Notation

x = - 2, x = 1.5

Solution steps

∣ - 4 x - 1 ∣ - 1 = 6

Move

1

to the right side

∣ - 4 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x - 1 = - 7 or - 4 x - 1 = 7

- 4 x - 1 = - 7 or - 4 x - 1 = 7

x = - 2 or x = \frac{3}{2}

5 = ∣ w + 3 ∣

∣ 15 - 5 x ∣ - 7 = 13

9 = ∣ w - 7 ∣

∣ w - 4 ∣ = 24

∣ 3 n + 6 ∣ = 5 n + 2

What is the answer to |-4x-1|-1=6 ?
The answer to |-4x-1|-1=6 is x=-2\lor x= 3/2
Solve for x: |-4x-1|-1=6
The solution is x=-2\lor x= 3/2