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

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

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

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

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∣ 3 x + 2 ∣ = 16

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

Decimal Notation

x = - 6, x = 4.66666 \dots

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

∣ - 3 x ∣ + 7 = 1

- 19 ∣ n - 7 ∣ = - 18

∣ 3 x + 2 ∣ = - 4

∣ 3 x - 6 ∣ - 5 = - 7

∣ 4 x - 23 ∣ = x - 2