What is the answer to |2x|-7=3 ?

The answer to |2x|-7=3 is x=-5\lor x=5

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|2x|-7=3

∣ 2 x ∣ - 7 = 3

x = - 5 or x = 5

Solution steps

∣ 2 x ∣ - 7 = 3

Move

7

to the right side

∣ 2 x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 10 or 2 x = 10

2 x = - 10 or 2 x = 10

x = - 5 or x = 5

- 3 ∣ 3 x - 8 ∣ + 20 = 2

∣ 9 x - 17 ∣ = 1

3 - x^{2} = ∣ 2 x ∣

∣ 5 x - 6 ∣ + 3 = 10

- 4 ∣ x + 9 ∣ = - 24