What is the answer to |-4x-1|=27 ?

The answer to |-4x-1|=27 is x=-7\lor x= 13/2

Solve for x: |-4x-1|=27

The solution is x=-7\lor x= 13/2

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∣ - 4 x - 1 ∣ = 27

x = - 7 or x = \frac{13}{2}

Decimal Notation

x = - 7, x = 6.5

Solution steps

∣ - 4 x - 1 ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x - 1 = - 27 or - 4 x - 1 = 27

- 4 x - 1 = - 27 or - 4 x - 1 = 27

x = - 7 or x = \frac{13}{2}

∣ x ∣ - x^{3} = 0

∣ m - 10 ∣ = 1

2 ∣ 2 x - 4 ∣ - 5 = - 3

∣ 6 - 5 x ∣ = 3

5 ∣ 2 - 11 x ∣ = 15