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

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

The solution is x=-8/3 \lor x= 8/3

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3|x|=8

3 ∣ x ∣ = 8

x = - \frac{8}{3} or x = \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots, x = 2.66666 \dots

Solution steps

3 ∣ x ∣ = 8

Divide both sides by

3

∣ x ∣ = \frac{8}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{8}{3} or x = \frac{8}{3}

∣ 5 u + 15 ∣ = 10

∣ q - 10 ∣ = 0

∣ 2 x + 1 ∣ = 2

- 4 ∣ 6 - 5 n ∣ = 13

- ∣ 9 d ∣ = 18