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

The answer to -4=-|x-8|+5 is x=-1\lor x=17

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-4=-|x-8|+5

- 4 = - ∣ x - 8 ∣ + 5

x = - 1 or x = 17

Solution steps

- 4 = - ∣ x - 8 ∣ + 5

Move

∣ x - 8 ∣

to the left side

- 4 + ∣ x - 8 ∣ = 5

Move

4

to the right side

∣ x - 8 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 1 or x = 17

2 ∣ 3 x + 2 ∣ + 1 = 3

- 4 = - ∣ x - 8 ∣ - 2

- 4 = - ∣ x - 8 ∣ - 1

∣ 4 y - 12 ∣ = - 4

\frac{∣ 5 a - 8 ∣}{4} = 5