What is the answer to 2|x-10|=14 ?

The answer to 2|x-10|=14 is x=3\lor x=17

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2|x-10|=14

2 ∣ x - 10 ∣ = 14

x = 3 or x = 17

Solution steps

2 ∣ x - 10 ∣ = 14

Divide both sides by

2

∣ x - 10 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 10 = - 7 or x - 10 = 7

x - 10 = - 7 or x - 10 = 7

x = 3 or x = 17

∣ y - 4 ∣ + 5 = 15

- \frac{∣ p ∣}{5} + 8 = 3

∣ x - 4 ∣ = 31

∣ 7 y - 6 ∣ = 11

9 - 2 ∣ x + 4 ∣ = 4