What is the answer to |x|+2=9 ?

The answer to |x|+2=9 is x=-7\lor x=7

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|x|+2=9

∣ x ∣ + 2 = 9

x = - 7 or x = 7

Solution steps

∣ x ∣ + 2 = 9

Move

2

to the right side

∣ x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 7 or x = 7

∣ y - 5 ∣ + 14 = 27

∣ 2 x - 9 ∣ = 3 x + 1

b (x) = - ∣ x - 3 ∣ + 2

- 2 ∣ z ∣ = 6

x^{2} + 8 x + 1 = ∣ x + 6 ∣ + 6