What is the answer to |8-3x|=9 ?

The answer to |8-3x|=9 is x=-1/3 \lor x= 17/3

Solve for x: |8-3x|=9

The solution is x=-1/3 \lor x= 17/3

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∣ 8 - 3 x ∣ = 9

x = - \frac{1}{3} or x = \frac{17}{3}

Decimal Notation

x = - 0.33333 \dots, x = 5.66666 \dots

Solution steps

∣ 8 - 3 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 3 x = - 9 or 8 - 3 x = 9

8 - 3 x = - 9 or 8 - 3 x = 9

x = - \frac{1}{3} or x = \frac{17}{3}

∣ x - 5 ∣ = 20

∣ p ∣ = 1

∣ p ∣ = 6

∣ 7 z ∣ - 16 = z - 10

∣ 2 - 5 t ∣ + 1 = 13