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

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

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

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

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∣ 3 x - 6 ∣ = 1

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

Solution steps

∣ 3 x - 6 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

\frac{1}{4} x - 3 = 10

∣ r - 9 ∣ = - 3

- ∣ 2 x + 7 ∣ - 1 = - 3

∣ 2 x + 9 ∣ - 5 = - 5

- 3 ∣ 3 x - 2 ∣ - 12 = - 6