What is the answer to |3x+5|=17 ?

The answer to |3x+5|=17 is x=-22/3 \lor x=4

Solve for x: |3x+5|=17

The solution is x=-22/3 \lor x=4

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∣ 3 x + 5 ∣ = 17

x = - \frac{22}{3} or x = 4

Decimal Notation

x = - 7.33333 \dots, x = 4

Solution steps

∣ 3 x + 5 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 17 or 3 x + 5 = 17

3 x + 5 = - 17 or 3 x + 5 = 17

x = - \frac{22}{3} or x = 4

∣ - 8 e ∣ = 24

∣ 2 x - 1 ∣ - 7 = x

∣ y ∣ = 0

∣ x - 5 ∣ = 6 x + 15

∣ 4 y ∣ = 28