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

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

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|2x-5|+2=3

∣ 2 x - 5 ∣ + 2 = 3

x = 2 or x = 3

Solution steps

∣ 2 x - 5 ∣ + 2 = 3

Move

2

to the right side

∣ 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

x^{2} - 8 ∣ x ∣ + 12 = 0

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

∣ 7 m + 3 ∣ + 6 = - 75

- 3.4 ∣ n + 1.6 ∣ = - 2.38

∣ 7 - 3 x ∣ = 5