What is the answer to 3|3x-8|=30 ?

The answer to 3|3x-8|=30 is x=-2/3 \lor x=6

Solve for x: 3|3x-8|=30

The solution is x=-2/3 \lor x=6

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3 ∣ 3 x - 8 ∣ = 30

x = - \frac{2}{3} or x = 6

Decimal Notation

x = - 0.66666 \dots, x = 6

Solution steps

3 ∣ 3 x - 8 ∣ = 30

Divide both sides by

3

∣ 3 x - 8 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 8 = - 10 or 3 x - 8 = 10

3 x - 8 = - 10 or 3 x - 8 = 10

x = - \frac{2}{3} or x = 6

∣ 2 - 2 t ∣ + 5 = 15

4 ∣ 3 b - 1 ∣ = 28

- 4 ∣ x - 1 ∣ + 3 = - 1

5 ∣ x - 4 ∣ + 8 = 53

- 3 x - 2 = ∣ 6 x + 25 ∣