What is the answer to |2x-5|=25 ?

The answer to |2x-5|=25 is x=-10\lor x=15

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|2x-5|=25

∣ 2 x - 5 ∣ = 25

x = - 10 or x = 15

Solution steps

∣ 2 x - 5 ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 25 or 2 x - 5 = 25

2 x - 5 = - 25 or 2 x - 5 = 25

x = - 10 or x = 15

- ∣ x + 2 ∣ - 1 = 0

3 ∣ 2 d + 9 ∣ + 13 = 10

∣ x - 1 ∣ = \frac{1}{32}

∣ x - 4 ∣ = ∣ 4 - x ∣

2 ∣ x + 1 ∣ - 3 = 7