What is the answer to |3x-5|-3=0 ?

The answer to |3x-5|-3=0 is x= 2/3 \lor x= 8/3

Solve for x: |3x-5|-3=0

The solution is x= 2/3 \lor x= 8/3

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∣ 3 x - 5 ∣ - 3 = 0

x = \frac{2}{3} or x = \frac{8}{3}

Decimal Notation

x = 0.66666 \dots, x = 2.66666 \dots

Solution steps

∣ 3 x - 5 ∣ - 3 = 0

Move

3

to the right side

∣ 3 x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{2}{3} or x = \frac{8}{3}

5 ∣ 2 x - 3 ∣ = 5

- 2 ∣ x + 2 ∣ + 19 = 7

- ∣ 4 + x ∣ = - 10

10 = ∣ 3 x - 5 ∣

∣ 3 x - 5 ∣ - 4 = 0

What is the answer to |3x-5|-3=0 ?
The answer to |3x-5|-3=0 is x= 2/3 \lor x= 8/3
Solve for x: |3x-5|-3=0
The solution is x= 2/3 \lor x= 8/3