What is the answer to 7|k+2|+8=15 ?

The answer to 7|k+2|+8=15 is k=-3\lor k=-1

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7|k+2|+8=15

7 ∣ k + 2 ∣ + 8 = 15

k = - 3 or k = - 1

Solution steps

7 ∣ k + 2 ∣ + 8 = 15

Move

8

to the right side

7 ∣ k + 2 ∣ = 7

Divide both sides by

7

∣ k + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 2 = - 1 or k + 2 = 1

k + 2 = - 1 or k + 2 = 1

k = - 3 or k = - 1

∣ 3 x - 7 ∣ - 9 = - 4

∣ 5 x - 7 ∣ = 2

10 = ∣ 3 p ∣

∣ 5 x - 7 ∣ = 7

- 2 = ∣ x - 4 ∣