What is the answer to |u|-19=-14 ?

The answer to |u|-19=-14 is u=-5\lor u=5

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|u|-19=-14

∣ u ∣ - 19 = - 14

u = - 5 or u = 5

Solution steps

∣ u ∣ - 19 = - 14

Move

19

to the right side

∣ u ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

u = - 5 or u = 5

9 - ∣ 6 x ∣ = 5

4 ∣ x + 5 ∣ = 28

x^{2} - 8 = 4

2 ∣ 4 x - 3 ∣ - 8 = - 3

∣ x + 7 ∣ = 27