What is the answer to -5|x-4|=-15 ?

The answer to -5|x-4|=-15 is x=1\lor x=7

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-5|x-4|=-15

- 5 ∣ x - 4 ∣ = - 15

x = 1 or x = 7

Solution steps

- 5 ∣ x - 4 ∣ = - 15

Divide both sides by

- 5

∣ x - 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 3 or x - 4 = 3

x - 4 = - 3 or x - 4 = 3

x = 1 or x = 7

x^{2} - ∣ 16 ∣ = 0

∣ 2 x + 2 ∣ = 2

∣ 2 x + 2 ∣ = 1

∣ 2 x + 2 ∣ = 9

- 10 = ∣ x ∣ + 5