What is the answer to |3x-4|=17 ?

The answer to |3x-4|=17 is x=-13/3 \lor x=7

Solve for x: |3x-4|=17

The solution is x=-13/3 \lor x=7

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∣ 3 x - 4 ∣ = 17

x = - \frac{13}{3} or x = 7

Decimal Notation

x = - 4.33333 \dots, x = 7

Solution steps

∣ 3 x - 4 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 17 or 3 x - 4 = 17

3 x - 4 = - 17 or 3 x - 4 = 17

x = - \frac{13}{3} or x = 7

∣ 3 x - 4 ∣ = 14

∣ 2 q - 8 ∣ = 14

∣ - 6 x + 3 ∣ - 7 = 20

∣ z + 4 ∣ = 16

6 = ∣ - 6 u ∣