What is the answer to |5x-9|-8=-1 ?

The answer to |5x-9|-8=-1 is x= 2/5 \lor x= 16/5

Solve for x: |5x-9|-8=-1

The solution is x= 2/5 \lor x= 16/5

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∣ 5 x - 9 ∣ - 8 = - 1

x = \frac{2}{5} or x = \frac{16}{5}

Decimal

x = 0.4, x = 3.2

Solution steps

∣ 5 x - 9 ∣ - 8 = - 1

Move

8

to the right side

∣ 5 x - 9 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 9 = - 7 or 5 x - 9 = 7

5 x - 9 = - 7 or 5 x - 9 = 7

x = \frac{2}{5} or x = \frac{16}{5}

\frac{∣ x + 1 ∣}{3} = 3

2 ∣ 5 x - 4 ∣ - 5 = 9

∣ 7 x ∣ = 12

∣ 5 - 4 x ∣ = 0

∣ x + 1 ∣ = ∣ x + 3 ∣

What is the answer to |5x-9|-8=-1 ?
The answer to |5x-9|-8=-1 is x= 2/5 \lor x= 16/5
Solve for x: |5x-9|-8=-1
The solution is x= 2/5 \lor x= 16/5