What is the answer to -3|x-1|=-9 ?

The answer to -3|x-1|=-9 is x=-2\lor x=4

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-3|x-1|=-9

- 3 ∣ x - 1 ∣ = - 9

x = - 2 or x = 4

Solution steps

- 3 ∣ x - 1 ∣ = - 9

Divide both sides by

- 3

∣ x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 3 or x - 1 = 3

x - 1 = - 3 or x - 1 = 3

x = - 2 or x = 4

4 ∣ 5 x - 2 ∣ + 3 = 11

1.2 ∣ 5 p ∣ = 3.6

∣ 5 x - 3 ∣ = 17

∣ x - 1 ∣ + ∣ 3 - x ∣ = 2

∣ 5 x - 3 ∣ = 20