What is the answer to |3x-1|=13 ?

The answer to |3x-1|=13 is x=-4\lor x= 14/3

Solve for x: |3x-1|=13

The solution is x=-4\lor x= 14/3

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∣ 3 x - 1 ∣ = 13

x = - 4 or x = \frac{14}{3}

Decimal Notation

x = - 4, x = 4.66666 \dots

Solution steps

∣ 3 x - 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 13 or 3 x - 1 = 13

3 x - 1 = - 13 or 3 x - 1 = 13

x = - 4 or x = \frac{14}{3}

x - 6 \geq - 9

- x^{3} - 3 x^{2} + 4

n^{2} - 4 n - 45

2 x^{2} + 17 x + 36

\frac{2}{5} + \frac{1}{2}