What is the answer to |x-9|+6=20 ?

The answer to |x-9|+6=20 is x=-5\lor x=23

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|x-9|+6=20

∣ x - 9 ∣ + 6 = 20

x = - 5 or x = 23

Solution steps

∣ x - 9 ∣ + 6 = 20

Move

6

to the right side

∣ x - 9 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 9 = - 14 or x - 9 = 14

x - 9 = - 14 or x - 9 = 14

x = - 5 or x = 23

∣ 4 x - 3 ∣ + 3 = 3

2 ∣ x + 9 ∣ + 3 = 55

x^{2} + 3 x - 7 = 3

x^{2} = 2 x

4 ∣ y - 2 ∣ - 12 = 0