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

The answer to 8|3x|=4 is x=-1/6 \lor x= 1/6

The solution is x=-1/6 \lor x= 1/6

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8|3x|=4

8 ∣ 3 x ∣ = 4

x = - \frac{1}{6} or x = \frac{1}{6}

Decimal Notation

x = - 0.16666 \dots, x = 0.16666 \dots

Solution steps

8 ∣ 3 x ∣ = 4

Divide both sides by

8

∣ 3 x ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - \frac{1}{2} or 3 x = \frac{1}{2}

3 x = - \frac{1}{2} or 3 x = \frac{1}{2}

x = - \frac{1}{6} or x = \frac{1}{6}

∣ 5 x + 3 ∣ = - 2 x + 17

2 ∣ x - 3 ∣ = 8

2 ∣ x - 3 ∣ = 6

2 ∣ x - 3 ∣ = 4

3 ∣ 2 x + 2 ∣ - 1 = 5