What is the answer to |x|-4=4 ?

The answer to |x|-4=4 is x=-8\lor x=8

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|x|-4=4

∣ x ∣ - 4 = 4

x = - 8 or x = 8

Solution steps

∣ x ∣ - 4 = 4

Move

4

to the right side

∣ x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 8 or x = 8

2 x^{2} - 3 x + 1 = 1

∣ 5 x + 15 ∣ = 5

∣ 6 n ∣ = 0

∣ 2 x + 5 ∣ + 2 = x

2 ∣ x + 1 ∣ - 3 = x - 2