What is the answer to 2|x-5|=10 ?

The answer to 2|x-5|=10 is x=0\lor x=10

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2|x-5|=10

2 ∣ x - 5 ∣ = 10

x = 0 or x = 10

Solution steps

2 ∣ x - 5 ∣ = 10

Divide both sides by

2

∣ x - 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 10

∣ x ∣ + 3 = 15 - ∣ x ∣

∣ A ∣^{2} = - \frac{1}{3}

5 ∣ x ∣ = 35

∣ 15 x - 5 ∣ = ∣ 35 - 5 x ∣

∣ x - 2 ∣ = 2 - x