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

The answer to |6x-3|=1 is x= 1/3 \lor x= 2/3

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

The solution is x= 1/3 \lor x= 2/3

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∣ 6 x - 3 ∣ = 1

x = \frac{1}{3} or x = \frac{2}{3}

Decimal Notation

x = 0.33333 \dots, x = 0.66666 \dots

Solution steps

∣ 6 x - 3 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{3} or x = \frac{2}{3}

∣ 7 x + 2 ∣ = 0

5 + ∣ 6 - x ∣ = 4

∣ 2 x - 5 ∣ = x + 1

∣ 2 x - 5 ∣ = x + 4

- 3 ∣ t ∣ - 5 = - 44