What is the answer to -5|x-4|=-10 ?

The answer to -5|x-4|=-10 is x=2\lor x=6

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-5|x-4|=-10

- 5 ∣ x - 4 ∣ = - 10

x = 2 or x = 6

Solution steps

- 5 ∣ x - 4 ∣ = - 10

Divide both sides by

- 5

∣ x - 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 2 or x - 4 = 2

x - 4 = - 2 or x - 4 = 2

x = 2 or x = 6

10 = ∣ 2 x ∣ + 16

\frac{1}{3} x - 2 = 6

- 4 ∣ x ∣ = - 16

5 + ∣ n - 4 ∣ = 13

∣ 14 - m ∣ = 6