What is the answer to 2|3x-1|=10 ?

The answer to 2|3x-1|=10 is x=-4/3 \lor x=2

Solve for x: 2|3x-1|=10

The solution is x=-4/3 \lor x=2

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2 ∣ 3 x - 1 ∣ = 10

x = - \frac{4}{3} or x = 2

Decimal Notation

x = - 1.33333 \dots, x = 2

Solution steps

2 ∣ 3 x - 1 ∣ = 10

Divide both sides by

2

∣ 3 x - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 5 or 3 x - 1 = 5

3 x - 1 = - 5 or 3 x - 1 = 5

x = - \frac{4}{3} or x = 2

4 = - 16 t^{2} + 24 t + 4

1.1 2^{5}

\frac{3 ^{\frac{2}{3}}}{9 ^{\frac{4}{3}}}

10 x^{2} + 31 x - 14

3 x^{2} - 4 x + 5 = 0