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

The answer to 5|2x-5|=25 is x=0\lor x=5

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5|2x-5|=25

5 ∣ 2 x - 5 ∣ = 25

x = 0 or x = 5

Solution steps

5 ∣ 2 x - 5 ∣ = 25

Divide both sides by

5

∣ 2 x - 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 5

∣ 5 m + 4 ∣ + 12 = - 3

1 + 3 ∣ x - 2 ∣ = 16

∣ h ∣ = - 19

\frac{x}{5} + 10 = 12

7 ∣ x - 6 ∣ = 26