What is the answer to |3x-2|=14 ?

The answer to |3x-2|=14 is x=-4\lor x= 16/3

Solve for x: |3x-2|=14

The solution is x=-4\lor x= 16/3

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∣ 3 x - 2 ∣ = 14

x = - 4 or x = \frac{16}{3}

Decimal

x = - 4, x = 5.33333 \dots

Solution steps

∣ 3 x - 2 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 14 or 3 x - 2 = 14

3 x - 2 = - 14 or 3 x - 2 = 14

x = - 4 or x = \frac{16}{3}

∣ 5 y - 6 ∣ = ∣ 6 - 5 y ∣

∣ d + 2 ∣ = 10

∣ x - 1 ∣ + ∣ 2 x - 3 ∣ = 2

5 = 5 ∣ f + 7 ∣

10 + ∣ k + 4 ∣ = 18