What is the answer to 3|3x-7|=24 ?

The answer to 3|3x-7|=24 is x=-1/3 \lor x=5

Solve for x: 3|3x-7|=24

The solution is x=-1/3 \lor x=5

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3 ∣ 3 x - 7 ∣ = 24

x = - \frac{1}{3} or x = 5

Decimal Notation

x = - 0.33333 \dots, x = 5

Solution steps

3 ∣ 3 x - 7 ∣ = 24

Divide both sides by

3

∣ 3 x - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 8 or 3 x - 7 = 8

3 x - 7 = - 8 or 3 x - 7 = 8

x = - \frac{1}{3} or x = 5

- 12 = - ∣ 6 f ∣

- 3 ∣ - 2 x - 2 ∣ = - 18

3 ∣ x ∣ - 4 = 11

7 ∣ 3 - 11 x ∣ = 28

∣ x + 1 ∣ + 4 = 6