What is the answer to -8+6|8x-9|=16 ?

The answer to -8+6|8x-9|=16 is x= 5/8 \lor x= 13/8

Solve for x: -8+6|8x-9|=16

The solution is x= 5/8 \lor x= 13/8

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- 8 + 6 ∣ 8 x - 9 ∣ = 16

x = \frac{5}{8} or x = \frac{13}{8}

Decimal Notation

x = 0.625, x = 1.625

Solution steps

- 8 + 6 ∣ 8 x - 9 ∣ = 16

Move

8

to the right side

6 ∣ 8 x - 9 ∣ = 24

Divide both sides by

6

∣ 8 x - 9 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x - 9 = - 4 or 8 x - 9 = 4

8 x - 9 = - 4 or 8 x - 9 = 4

x = \frac{5}{8} or x = \frac{13}{8}

∣ 4 x + 4 ∣ = 15

∣ c + 380 ∣ = 15

∣ - 5 x + 12 ∣ = - 2 x + 1

∣ b + 8 ∣ + 4 = 5

30 = ∣ 10 + 4 c ∣

What is the answer to -8+6|8x-9|=16 ?
The answer to -8+6|8x-9|=16 is x= 5/8 \lor x= 13/8
Solve for x: -8+6|8x-9|=16
The solution is x= 5/8 \lor x= 13/8