What is the answer to 8|2x-9|=16 ?

The answer to 8|2x-9|=16 is x= 7/2 \lor x= 11/2

Solve for x: 8|2x-9|=16

The solution is x= 7/2 \lor x= 11/2

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8 ∣ 2 x - 9 ∣ = 16

x = \frac{7}{2} or x = \frac{11}{2}

Solution steps

8 ∣ 2 x - 9 ∣ = 16

Divide both sides by

8

∣ 2 x - 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{7}{2} or x = \frac{11}{2}

∣ 5 x - 1 ∣ = 6

\frac{9 x}{4} + 6 = 0

- 3 ∣ 2 x + 1 ∣ = - 15

4 = a + ∣ x - 4 ∣

∣ m - 3 ∣ = 12 - 2 m

What is the answer to 8|2x-9|=16 ?
The answer to 8|2x-9|=16 is x= 7/2 \lor x= 11/2
Solve for x: 8|2x-9|=16
The solution is x= 7/2 \lor x= 11/2