What is the answer to 3|2x-5|=3 ?

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

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3|2x-5|=3

3 ∣ 2 x - 5 ∣ = 3

x = 2 or x = 3

Solution steps

3 ∣ 2 x - 5 ∣ = 3

Divide both sides by

3

∣ 2 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 1 or 2 x - 5 = 1

2 x - 5 = - 1 or 2 x - 5 = 1

x = 2 or x = 3

∣ 2 b ∣ = 0

∣ x - 6 ∣ + 4 = 8

\frac{∣ - 4 - 3 n ∣}{4} = 2

7 ∣ x - 2 ∣ - 11 = 10

∣ 7 x + 42 ∣ = 14 x