What is the answer to |x+3|-1=15 ?

The answer to |x+3|-1=15 is x=-19\lor x=13

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|x+3|-1=15

∣ x + 3 ∣ - 1 = 15

x = - 19 or x = 13

Solution steps

∣ x + 3 ∣ - 1 = 15

Move

1

to the right side

∣ x + 3 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 16 or x + 3 = 16

x + 3 = - 16 or x + 3 = 16

x = - 19 or x = 13

\frac{7}{2} ∣ x + 3 ∣ = 7

x + ∣ x - 5 ∣ = 8

∣ 2 x + 5 ∣ - 5 = 9

∣ 3 x + 2 ∣ = x - 4

∣ 8 - 3 z ∣ = \frac{9}{2}