What is the answer to |3x-2|=16 ?

The answer to |3x-2|=16 is x=-14/3 \lor x=6

Solve for x: |3x-2|=16

The solution is x=-14/3 \lor x=6

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∣ 3 x - 2 ∣ = 16

x = - \frac{14}{3} or x = 6

Decimal Notation

x = - 4.66666 \dots, x = 6

Solution steps

∣ 3 x - 2 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 16 or 3 x - 2 = 16

3 x - 2 = - 16 or 3 x - 2 = 16

x = - \frac{14}{3} or x = 6

∣ x + 7 ∣ - 3 = 15

∣ m ∣ = 4

∣ - 7 x ∣ = 49

8 + ∣ 4 x + 7 ∣ = 8

∣ w ∣ = - 18