What is the answer to 0=|x|-3 ?

The answer to 0=|x|-3 is x=-3\lor x=3

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0=|x|-3

0 = ∣ x ∣ - 3

x = - 3 or x = 3

Solution steps

0 = ∣ x ∣ - 3

Switch sides

∣ x ∣ - 3 = 0

Move

3

to the right side

∣ x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 3 or x = 3

15 = 2 - ∣ p - 3 ∣

\frac{x}{3} - 1 + 2 = 0

∣ x - 6 ∣ = 13

∣ x - 4 ∣ + 6 = 13

3 ∣ x - 6 ∣ = 14