What is the answer to |3x-2|=19 ?

The answer to |3x-2|=19 is x=-17/3 \lor x=7

Solve for x: |3x-2|=19

The solution is x=-17/3 \lor x=7

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∣ 3 x - 2 ∣ = 19

x = - \frac{17}{3} or x = 7

Decimal

x = - 5.66666 \dots, x = 7

Solution steps

∣ 3 x - 2 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 19 or 3 x - 2 = 19

3 x - 2 = - 19 or 3 x - 2 = 19

x = - \frac{17}{3} or x = 7

x^{2} + 6 x + 8 = 0

∣ 3 x - 1 ∣ = 4 x + 1

∣ 2 x + 5 ∣ + 4 = 17

3 ∣ x ∣ + x^{2} - 2 = 0

x, 3 ∣ x + 24 ∣ + 4 = 64