What is the answer to 2|x-5|=4 ?

The answer to 2|x-5|=4 is x=3\lor x=7

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2|x-5|=4

2 ∣ x - 5 ∣ = 4

x = 3 or x = 7

Solution steps

2 ∣ x - 5 ∣ = 4

Divide both sides by

2

∣ x - 5 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 3 or x = 7

5 = ∣ p - 5 ∣

3 ∣ 6 x - 12 ∣ - 2 = 7

∣ x + 2 ∣ + 2 = 0

∣ u - 4 ∣ = - \frac{1}{5}

∣ z - 950 ∣ = 20