What is the answer to |3x-2|=13 ?

The answer to |3x-2|=13 is x=-11/3 \lor x=5

Solve for x: |3x-2|=13

The solution is x=-11/3 \lor x=5

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∣ 3 x - 2 ∣ = 13

x = - \frac{11}{3} or x = 5

Decimal Notation

x = - 3.66666 \dots, x = 5

Solution steps

∣ 3 x - 2 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 13 or 3 x - 2 = 13

3 x - 2 = - 13 or 3 x - 2 = 13

x = - \frac{11}{3} or x = 5

3 = ∣ 6 - x ∣

x^{2} - 16 = x - 4

10 + 2 ∣ x + 3 ∣ = 2

∣ 2 x - 3 ∣ + 6 = 9

∣ r ∣ = 2