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

The answer to 12-|x+6|=3 is x=-15\lor x=3

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12-|x+6|=3

12 - ∣ x + 6 ∣ = 3

x = - 15 or x = 3

Solution steps

12 - ∣ x + 6 ∣ = 3

Move

12

to the right side

- ∣ x + 6 ∣ = - 9

Divide both sides by

- 1

∣ x + 6 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 6 = - 9 or x + 6 = 9

x + 6 = - 9 or x + 6 = 9

x = - 15 or x = 3

12 - ∣ x + 6 ∣ = 5

\frac{x}{( 1 - x )} = \frac{x}{( 1 - x )}

∣ 2 x - 1 ∣ - 2 ∣ 1 - x ∣ = 1

2 ∣ 4 x + 9 ∣ - 5 = 15

∣ 4 k + 5 ∣ = ∣ 3 k - 2 ∣