What is the answer to |x+2|-4=12 ?

The answer to |x+2|-4=12 is x=-18\lor x=14

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|x+2|-4=12

∣ x + 2 ∣ - 4 = 12

x = - 18 or x = 14

Solution steps

∣ x + 2 ∣ - 4 = 12

Move

4

to the right side

∣ x + 2 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 16 or x + 2 = 16

x + 2 = - 16 or x + 2 = 16

x = - 18 or x = 14

(x - 2)^{2} \leq 0

∣ x + 3 ∣ + 2 \geq 6

31 - 12 x = 211

(2 x + 4)^{2} = 9

\frac{50 !}{2 ! ( 48 ! )}