What is the answer to |-6x-8|=46 ?

The answer to |-6x-8|=46 is x=-9\lor x= 19/3

Solve for x: |-6x-8|=46

The solution is x=-9\lor x= 19/3

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∣ - 6 x - 8 ∣ = 46

x = - 9 or x = \frac{19}{3}

Decimal Notation

x = - 9, x = 6.33333 \dots

Solution steps

∣ - 6 x - 8 ∣ = 46

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 x - 8 = - 46 or - 6 x - 8 = 46

- 6 x - 8 = - 46 or - 6 x - 8 = 46

x = - 9 or x = \frac{19}{3}

∣ - 6 x ∣ = 12

2 ∣ 14 - 3 x ∣ - 15 = - 3

4 ∣ x + 6 ∣ = 16

2 ∣ x - 3 ∣ = 12

x^{2} + 3 x = 4