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

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

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

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

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∣ 3 x - 1 ∣ = 2

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

Solution steps

∣ 3 x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 2 or 3 x - 1 = 2

3 x - 1 = - 2 or 3 x - 1 = 2

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

x^{2} + 6 x - 11 = 0

\frac{h}{3} + \frac{h}{6} = 1

3 x^{3} + 4 x^{2} - 7 x + 2

\frac{x + 3}{8 x} = 77

x - 3 \cdot \frac{2 x + 1}{2} = - 3 (- \frac{3 x + 9}{3} - 2 + x) - \frac{x}{2}