What is the answer to |3x-1|=6 ?

The answer to |3x-1|=6 is x=-5/3 \lor x= 7/3

Solve for x: |3x-1|=6

The solution is x=-5/3 \lor x= 7/3

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∣ 3 x - 1 ∣ = 6

x = - \frac{5}{3} or x = \frac{7}{3}

Decimal Notation

x = - 1.66666 \dots, x = 2.33333 \dots

Solution steps

∣ 3 x - 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 6 or 3 x - 1 = 6

3 x - 1 = - 6 or 3 x - 1 = 6

x = - \frac{5}{3} or x = \frac{7}{3}

3 (x + 6)^{2} = 75

m^{2} - 4 m + 4

60 = 3 x - \frac{5}{3} x

- 112

3 x + 5 = 2 - x