What is the answer to |3x-8|-2=6 ?

The answer to |3x-8|-2=6 is x=0\lor x= 16/3

Solve for x: |3x-8|-2=6

The solution is x=0\lor x= 16/3

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∣ 3 x - 8 ∣ - 2 = 6

x = 0 or x = \frac{16}{3}

Decimal Notation

x = 0, x = 5.33333 \dots

Solution steps

∣ 3 x - 8 ∣ - 2 = 6

Move

2

to the right side

∣ 3 x - 8 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 8 = - 8 or 3 x - 8 = 8

3 x - 8 = - 8 or 3 x - 8 = 8

x = 0 or x = \frac{16}{3}

∣ 8 r + 1 ∣ = 3 r

1 = ∣ g + 3 ∣

∣ 3 x - 1 ∣ = 2 x - 5

- 7 + 8 ∣ - 7 x - 3 ∣ = 73

∣ x - 10 ∣ + 10 = 3 x