What is the answer to |x|-3=-1 ?

The answer to |x|-3=-1 is x=-2\lor x=2

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|x|-3=-1

∣ x ∣ - 3 = - 1

x = - 2 or x = 2

Solution steps

∣ x ∣ - 3 = - 1

Move

3

to the right side

∣ x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 2 or x = 2

- 2 ∣ 7 - 6 x ∣ + 8 = 6

- 10 ∣ 2 + 6 x ∣ - 6 = - 86

3 + 2 x - \frac{3}{4} = 7

∣ - 2 (x + 1) ∣ = 4

∣ x + 3 ∣ = 17