What is the answer to |3x-7|=14 ?

The answer to |3x-7|=14 is x=-7/3 \lor x=7

Solve for x: |3x-7|=14

The solution is x=-7/3 \lor x=7

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∣ 3 x - 7 ∣ = 14

x = - \frac{7}{3} or x = 7

Decimal Notation

x = - 2.33333 \dots, x = 7

Solution steps

∣ 3 x - 7 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 14 or 3 x - 7 = 14

3 x - 7 = - 14 or 3 x - 7 = 14

x = - \frac{7}{3} or x = 7

3 - ∣ 3 - 2 x ∣ = 0

4 ∣ 3 x - 6 ∣ = 24

2 ∣ - 3 - 5 k ∣ - 3 = 13

∣ - 3 k - 2 ∣ = 20

3 ∣ y - 2 ∣ - 9 = 0