What is the answer to |3x-5|=1 ?

The answer to |3x-5|=1 is x= 4/3 \lor x=2

Solve for x: |3x-5|=1

The solution is x= 4/3 \lor x=2

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∣ 3 x - 5 ∣ = 1

x = \frac{4}{3} or x = 2

Decimal Notation

x = 1.33333 \dots, x = 2

Solution steps

∣ 3 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 1 or 3 x - 5 = 1

3 x - 5 = - 1 or 3 x - 5 = 1

x = \frac{4}{3} or x = 2

12 - 3 ∣ x - 4 ∣ = 1

∣ m + 4 ∣ + 1 = 26

∣ 2 - x ∣ + 7 = 2 x

7 ∣ x - 6 ∣ = 22

x^{2} - 9 = 5