What is the answer to 8|3x-9|=16 ?

The answer to 8|3x-9|=16 is x= 7/3 \lor x= 11/3

Solve for x: 8|3x-9|=16

The solution is x= 7/3 \lor x= 11/3

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8 ∣ 3 x - 9 ∣ = 16

x = \frac{7}{3} or x = \frac{11}{3}

Decimal Notation

x = 2.33333 \dots, x = 3.66666 \dots

Solution steps

8 ∣ 3 x - 9 ∣ = 16

Divide both sides by

8

∣ 3 x - 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 2 or 3 x - 9 = 2

3 x - 9 = - 2 or 3 x - 9 = 2

x = \frac{7}{3} or x = \frac{11}{3}

∣ 4 x - 4 ∣ - 10 = 2 x^{2} x

∣ 7 x - 1 ∣ - 7 = 3

∣ x + 2 ∣ + 3 = 0

∣ x + 8 ∣ + 1 = 0

\frac{3 x + 1}{4} = 2

What is the answer to 8|3x-9|=16 ?
The answer to 8|3x-9|=16 is x= 7/3 \lor x= 11/3
Solve for x: 8|3x-9|=16
The solution is x= 7/3 \lor x= 11/3