What is the answer to 8-4|8-5x|=-8 ?

The answer to 8-4|8-5x|=-8 is x= 4/5 \lor x= 12/5

Solve for x: 8-4|8-5x|=-8

The solution is x= 4/5 \lor x= 12/5

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8 - 4 ∣ 8 - 5 x ∣ = - 8

x = \frac{4}{5} or x = \frac{12}{5}

Solution steps

8 - 4 ∣ 8 - 5 x ∣ = - 8

Move

8

to the right side

- 4 ∣ 8 - 5 x ∣ = - 16

Divide both sides by

- 4

∣ 8 - 5 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 5 x = - 4 or 8 - 5 x = 4

8 - 5 x = - 4 or 8 - 5 x = 4

x = \frac{4}{5} or x = \frac{12}{5}

24 = ∣ 6 a ∣

∣ x - 4 ∣ + 3 = 1

12 = \frac{c}{7}

∣ 5 x ∣ = 50

∣ x - 2 ∣ = 2 x + 1

What is the answer to 8-4|8-5x|=-8 ?
The answer to 8-4|8-5x|=-8 is x= 4/5 \lor x= 12/5
Solve for x: 8-4|8-5x|=-8
The solution is x= 4/5 \lor x= 12/5