What is the answer to |-3x-5|=8 ?

The answer to |-3x-5|=8 is x=-13/3 \lor x=1

Solve for x: |-3x-5|=8

The solution is x=-13/3 \lor x=1

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∣ - 3 x - 5 ∣ = 8

x = - \frac{13}{3} or x = 1

Decimal Notation

x = - 4.33333 \dots, x = 1

Solution steps

∣ - 3 x - 5 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x - 5 = - 8 or - 3 x - 5 = 8

- 3 x - 5 = - 8 or - 3 x - 5 = 8

x = - \frac{13}{3} or x = 1

∣ 3 b - 1 ∣ = 5

\frac{3}{2} = ∣ x + 2 ∣

∣ 10 x - 9 ∣ = 21

4 ∣ 7 w + 14 ∣ = 28

∣ x + 3 ∣ + 12 = 5