What is the answer to |-3x-8|=1 ?

The answer to |-3x-8|=1 is x=-3\lor x=-7/3

Solve for x: |-3x-8|=1

The solution is x=-3\lor x=-7/3

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∣ - 3 x - 8 ∣ = 1

x = - 3 or x = - \frac{7}{3}

Decimal Notation

x = - 3, x = - 2.33333 \dots

Solution steps

∣ - 3 x - 8 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x - 8 = - 1 or - 3 x - 8 = 1

- 3 x - 8 = - 1 or - 3 x - 8 = 1

x = - 3 or x = - \frac{7}{3}

3 x - \frac{2}{7} = 5

∣ 4 x + 7 ∣ - 2 = 18

- 3 ∣ x + 6 ∣ = - 21

∣ 15 n + 1 ∣ = 0

- 6 ∣ 5 - 2 y ∣ = 9