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

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

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

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

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∣ 3 x + 8 ∣ = 5

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

Decimal

x = - 4.33333 \dots, x = - 1

Solution steps

∣ 3 x + 8 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

3 = ∣ 2 x - 14 ∣

x^{3} - ∣ x ∣ = 0

(x - 5)^{2} = ∣ 2 x - 1 ∣

∣ 5 x + 3 ∣ = 0

2 ∣ 3 x - 3 ∣ 2 x = \frac{1}{12}