What is the answer to 10+|k+4|=18 ?

The answer to 10+|k+4|=18 is k=-12\lor k=4

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10+|k+4|=18

10 + ∣ k + 4 ∣ = 18

k = - 12 or k = 4

Solution steps

10 + ∣ k + 4 ∣ = 18

Move

10

to the right side

∣ k + 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 4 = - 8 or k + 4 = 8

k + 4 = - 8 or k + 4 = 8

k = - 12 or k = 4

∣ c ∣ = - 5

3 ∣ 4 x + 4 ∣ - 8 = - 2

∣ x - 5 ∣ = ∣ 7 - x ∣

∣ 3 x + 1 ∣ - ∣ x - 1 ∣ = 12

x^{2} + x - 2 = 2 - x - x^{2}