What is the answer to 2|3x-1|=8 ?

The answer to 2|3x-1|=8 is x=-1\lor x= 5/3

Solve for x: 2|3x-1|=8

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

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2 ∣ 3 x - 1 ∣ = 8

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

Decimal Notation

x = - 1, x = 1.66666 \dots

Solution steps

2 ∣ 3 x - 1 ∣ = 8

Divide both sides by

2

∣ 3 x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 4 or 3 x - 1 = 4

3 x - 1 = - 4 or 3 x - 1 = 4

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

2 (3)^{- 1}

3 a^{2} + 30 a + 63

3 x = 243

\frac{x}{3} + \frac{x}{4} + \frac{x}{5} = 94

(5 + 7 i) (5 - 7 i)