What is the answer to |3x-8|=4 ?

The answer to |3x-8|=4 is x= 4/3 \lor x=4

Solve for x: |3x-8|=4

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

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∣ 3 x - 8 ∣ = 4

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

Decimal Notation

x = 1.33333 \dots, x = 4

Solution steps

∣ 3 x - 8 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 8 = - 4 or 3 x - 8 = 4

3 x - 8 = - 4 or 3 x - 8 = 4

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

- 17 + 8 x > - 25

2 x \leq 15

x + 20 + 4 x - 5 = 180

624

\frac{4}{3} π (2)^{3}