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

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

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

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

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∣ 3 x - 2 ∣ - 3 = 1

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

Decimal Notation

x = - 0.66666 \dots, x = 2

Solution steps

∣ 3 x - 2 ∣ - 3 = 1

Move

3

to the right side

∣ 3 x - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 4 or 3 x - 2 = 4

3 x - 2 = - 4 or 3 x - 2 = 4

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

5 ∣ - 2 x + 10 ∣ = - 100

∣ 150 h - 160 ∣ = - 25

∣ - 3 + 2 x ∣ + 9 = 24

x^{3} + 1 = 1

∣ 6 x - 12 ∣ + 7 = 19