What is the answer to 2|3x-5|=14 ?

The answer to 2|3x-5|=14 is x=-2/3 \lor x=4

Solve for x: 2|3x-5|=14

The solution is x=-2/3 \lor x=4

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2 ∣ 3 x - 5 ∣ = 14

x = - \frac{2}{3} or x = 4

Decimal Notation

x = - 0.66666 \dots, x = 4

Solution steps

2 ∣ 3 x - 5 ∣ = 14

Divide both sides by

2

∣ 3 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 7 or 3 x - 5 = 7

3 x - 5 = - 7 or 3 x - 5 = 7

x = - \frac{2}{3} or x = 4

4 = ∣ t - 6 ∣

3 ∣ x - 1 ∣ = 12

8 ∣ 3 - 3 n ∣ - 5 = 91

∣ 2 x - 3 ∣ + 2 = 5

∣ 6 x - 2 ∣ = 7