What is the answer to |x|+14=24 ?

The answer to |x|+14=24 is x=-10\lor x=10

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|x|+14=24

∣ x ∣ + 14 = 24

x = - 10 or x = 10

Solution steps

∣ x ∣ + 14 = 24

Move

14

to the right side

∣ x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 10 or x = 10

7 ∣ 2 x - 5 ∣ = 21

∣ x ∣ + 5 = 1

∣ 4 x + 1 ∣ + 3 = - 7

x^{2} + 6 - 8 = ∣ x + 4 ∣ + 4

∣ x + 8 ∣ + 4 = 0