What is the answer to |3x-8|-7=0 ?

The answer to |3x-8|-7=0 is x= 1/3 \lor x=5

Solve for x: |3x-8|-7=0

The solution is x= 1/3 \lor x=5

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∣ 3 x - 8 ∣ - 7 = 0

x = \frac{1}{3} or x = 5

Decimal Notation

x = 0.33333 \dots, x = 5

Solution steps

∣ 3 x - 8 ∣ - 7 = 0

Move

7

to the right side

∣ 3 x - 8 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 8 = - 7 or 3 x - 8 = 7

3 x - 8 = - 7 or 3 x - 8 = 7

x = \frac{1}{3} or x = 5

∣ 3 x - 9 ∣ = - 6

∣ 3 x - 9 ∣ = - 5

11 = 2 ∣ - 6 d ∣ - 9

16 = - 2 ∣ m - 2 ∣

17 = 5 - ∣ y + 4 ∣