What is the answer to 4-9|-6-x|=-14 ?

The answer to 4-9|-6-x|=-14 is x=-8\lor x=-4

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4-9|-6-x|=-14

4 - 9 ∣ - 6 - x ∣ = - 14

x = - 8 or x = - 4

Solution steps

4 - 9 ∣ - 6 - x ∣ = - 14

Move

4

to the right side

- 9 ∣ - 6 - x ∣ = - 18

Divide both sides by

- 9

∣ - 6 - x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 - x = - 2 or - 6 - x = 2

- 6 - x = - 2 or - 6 - x = 2

x = - 8 or x = - 4

∣ 5 x + 15 ∣ = 45

∣ 8 x - 24 ∣ = 0

∣ 2 x + 9 ∣ + 9 = 5

∣ 14 z + 4 ∣ + 4 = 2

- 8 x = 2 ∣ 6 x - 2 ∣

What is the answer to 4-9|-6-x|=-14 ?
The answer to 4-9|-6-x|=-14 is x=-8\lor x=-4
Solve for x: 4-9|-6-x|=-14
The solution is x=-8\lor x=-4