What is the answer to |x+1|+2=7 ?

The answer to |x+1|+2=7 is x=-6\lor x=4

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|x+1|+2=7

∣ x + 1 ∣ + 2 = 7

x = - 6 or x = 4

Solution steps

∣ x + 1 ∣ + 2 = 7

Move

2

to the right side

∣ x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 5 or x + 1 = 5

x + 1 = - 5 or x + 1 = 5

x = - 6 or x = 4

5 = - ∣ x - 2 ∣ + 1

∣ x + 9 ∣ = 14

∣ 2 x - 1 ∣ = x^{2} + 1

25 - ∣ x ∣ = 24

∣ 7 n + 3 ∣ = 52