What is the answer to -4|x-1|+3=-1 ?

The answer to -4|x-1|+3=-1 is x=0\lor x=2

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-4|x-1|+3=-1

- 4 ∣ x - 1 ∣ + 3 = - 1

x = 0 or x = 2

Solution steps

- 4 ∣ x - 1 ∣ + 3 = - 1

Move

3

to the right side

- 4 ∣ x - 1 ∣ = - 4

Divide both sides by

- 4

∣ x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 2

5 ∣ x - 4 ∣ + 8 = 53

- 3 x - 2 = ∣ 6 x + 25 ∣

∣ 2 x + 3 ∣ + 2 = 17

\frac{4 - x}{2} - 3 = 0

4 ∣ x + 1 ∣ = 32