What is the answer to |3x-6|=2 ?

The answer to |3x-6|=2 is x= 4/3 \lor x= 8/3

Solve for x: |3x-6|=2

The solution is x= 4/3 \lor x= 8/3

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∣ 3 x - 6 ∣ = 2

x = \frac{4}{3} or x = \frac{8}{3}

Decimal Notation

x = 1.33333 \dots, x = 2.66666 \dots

Solution steps

∣ 3 x - 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 6 = - 2 or 3 x - 6 = 2

3 x - 6 = - 2 or 3 x - 6 = 2

x = \frac{4}{3} or x = \frac{8}{3}

∣ 3 x - 6 ∣ = 6

x^{2} - 4 x = 2 x - 8

∣ y - 4 ∣ = y - 4

∣ 5 x - 5 ∣ = 10

∣ 6 x + 18 ∣ = 12