What is the answer to 5-4|x-4|=-23 ?

The answer to 5-4|x-4|=-23 is x=-3\lor x=11

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5-4|x-4|=-23

5 - 4 ∣ x - 4 ∣ = - 23

x = - 3 or x = 11

Solution steps

5 - 4 ∣ x - 4 ∣ = - 23

Move

5

to the right side

- 4 ∣ x - 4 ∣ = - 28

Divide both sides by

- 4

∣ x - 4 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 7 or x - 4 = 7

x - 4 = - 7 or x - 4 = 7

x = - 3 or x = 11

3 ∣ x - 5 ∣ = 12

∣ 3 x - 6 ∣ = 42

∣ x ∣ + 9 = 15

∣ 5 x - 8 ∣ - 15 = - 9

- 6 = - 2 ∣ g ∣

What is the answer to 5-4|x-4|=-23 ?
The answer to 5-4|x-4|=-23 is x=-3\lor x=11
Solve for x: 5-4|x-4|=-23
The solution is x=-3\lor x=11