What is the answer to -4|x-2|-9=-37 ?

The answer to -4|x-2|-9=-37 is x=-5\lor x=9

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-4|x-2|-9=-37

- 4 ∣ x - 2 ∣ - 9 = - 37

x = - 5 or x = 9

Solution steps

- 4 ∣ x - 2 ∣ - 9 = - 37

Move

9

to the right side

- 4 ∣ x - 2 ∣ = - 28

Divide both sides by

- 4

∣ x - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 7 or x - 2 = 7

x - 2 = - 7 or x - 2 = 7

x = - 5 or x = 9

∣ x + 12 ∣ = 0

- 10 + ∣ 2 + 10 x ∣ = 92

∣ 2 x + 8 ∣ - 4 = 12

∣ x + 1 ∣ = - 2

21 ∣ 3 x - 5 ∣ - 6 = 8

What is the answer to -4|x-2|-9=-37 ?
The answer to -4|x-2|-9=-37 is x=-5\lor x=9
Solve for x: -4|x-2|-9=-37
The solution is x=-5\lor x=9