What is the answer to |3x-5|=14 ?

The answer to |3x-5|=14 is x=-3\lor x= 19/3

Solve for x: |3x-5|=14

The solution is x=-3\lor x= 19/3

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∣ 3 x - 5 ∣ = 14

x = - 3 or x = \frac{19}{3}

Decimal Notation

x = - 3, x = 6.33333 \dots

Solution steps

∣ 3 x - 5 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 14 or 3 x - 5 = 14

3 x - 5 = - 14 or 3 x - 5 = 14

x = - 3 or x = \frac{19}{3}

∣ 11 - 4 b ∣ = 1818

3 ∣ 2 x - 5 ∣ + 2 = 11

∣ 6 x + 8 ∣ = - 21 x + 1

∣ 1 - b ∣ = 3

∣ 4 x + 5 ∣ - 4 = 24