What is the answer to -3|x-5|-6=-12 ?

The answer to -3|x-5|-6=-12 is x=3\lor x=7

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-3|x-5|-6=-12

- 3 ∣ x - 5 ∣ - 6 = - 12

x = 3 or x = 7

Solution steps

- 3 ∣ x - 5 ∣ - 6 = - 12

Move

6

to the right side

- 3 ∣ x - 5 ∣ = - 6

Divide both sides by

- 3

∣ x - 5 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 2 or x - 5 = 2

x - 5 = - 2 or x - 5 = 2

x = 3 or x = 7

∣ n + 2 ∣ = 5

∣ n + 2 ∣ = 4

3 ∣ 3 x - 2 ∣ - 7 = - 4

∣ 5 x + 3 ∣ 8 - 6 x + 2 = 0

∣ 2 x - 4 ∣ - 6 = 17

What is the answer to -3|x-5|-6=-12 ?
The answer to -3|x-5|-6=-12 is x=3\lor x=7
Solve for x: -3|x-5|-6=-12
The solution is x=3\lor x=7