What is the answer to |-6x-4|=32 ?

The answer to |-6x-4|=32 is x=-6\lor x= 14/3

Solve for x: |-6x-4|=32

The solution is x=-6\lor x= 14/3

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∣ - 6 x - 4 ∣ = 32

x = - 6 or x = \frac{14}{3}

Decimal Notation

x = - 6, x = 4.66666 \dots

Solution steps

∣ - 6 x - 4 ∣ = 32

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 x - 4 = - 32 or - 6 x - 4 = 32

- 6 x - 4 = - 32 or - 6 x - 4 = 32

x = - 6 or x = \frac{14}{3}

∣ x ∣ + 6 = 12

∣ x ∣ + 6 = 16

∣ 9 x - 45 ∣ = 0

3 - 4 ∣ 6 x - 8 ∣ = 3

∣ y ∣ + 9 = 0