What is the answer to 14-|3k+6|=5 ?

The answer to 14-|3k+6|=5 is k=-5\lor k=1

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14-|3k+6|=5

14 - ∣ 3 k + 6 ∣ = 5

k = - 5 or k = 1

Solution steps

14 - ∣ 3 k + 6 ∣ = 5

Move

14

to the right side

- ∣ 3 k + 6 ∣ = - 9

Divide both sides by

- 1

∣ 3 k + 6 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 k + 6 = - 9 or 3 k + 6 = 9

3 k + 6 = - 9 or 3 k + 6 = 9

k = - 5 or k = 1

∣ x - 5 ∣ = 4 x + 1

1 + 9 ∣ - 5 x - 1 ∣ = - 8

∣ m - 2 ∣ = 5

∣ 3 x + 5 ∣ - 2 x = 3 x + 4

x^{2} - 2 x = 2 x - 3