What is the answer to 1-|10-5x|=-5 ?

The answer to 1-|10-5x|=-5 is x= 4/5 \lor x= 16/5

Solve for x: 1-|10-5x|=-5

The solution is x= 4/5 \lor x= 16/5

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1 - ∣ 10 - 5 x ∣ = - 5

x = \frac{4}{5} or x = \frac{16}{5}

Decimal Notation

x = 0.8, x = 3.2

Solution steps

1 - ∣ 10 - 5 x ∣ = - 5

Move

1

to the right side

- ∣ 10 - 5 x ∣ = - 6

Divide both sides by

- 1

∣ 10 - 5 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 - 5 x = - 6 or 10 - 5 x = 6

10 - 5 x = - 6 or 10 - 5 x = 6

x = \frac{4}{5} or x = \frac{16}{5}

∣ y + 7 ∣ = 19

∣ 2 y - 3 ∣ = 29

∣ x - 9 ∣ = 2 x

∣ x - 8 ∣ = 3 x

∣ 3 x - 1 ∣ = 5

What is the answer to 1-|10-5x|=-5 ?
The answer to 1-|10-5x|=-5 is x= 4/5 \lor x= 16/5
Solve for x: 1-|10-5x|=-5
The solution is x= 4/5 \lor x= 16/5