What is the answer to |-1/5 x-4|-5=1 ?

The answer to |-1/5 x-4|-5=1 is x=-50\lor x=10

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|-1/5 x-4|-5=1

- \frac{1}{5} x - 4 - 5 = 1

x = - 50 or x = 10

Solution steps

- \frac{1}{5} x - 4 - 5 = 1

Move

5

to the right side

- \frac{1}{5} x - 4 = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- \frac{1}{5} x - 4 = - 6 or - \frac{1}{5} x - 4 = 6

- \frac{1}{5} x - 4 = - 6 or - \frac{1}{5} x - 4 = 6

x = - 50 or x = 10

∣ n ∣ + 3 = 2

∣ x + 8 ∣ = ∣ 4 ∣

- 10 ∣ 4 v + 2 ∣ = - 20

∣ 2 x + 7 ∣ + 5 = 8

3 = - 2 \frac{1}{4} x - 5 + 3

What is the answer to |-1/5 x-4|-5=1 ?
The answer to |-1/5 x-4|-5=1 is x=-50\lor x=10
Solve for x: |-1/5 x-4|-5=1
The solution is x=-50\lor x=10