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

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

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|x-5|=2

∣ x - 5 ∣ = 2

x = 3 or x = 7

Solution steps

∣ 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

\frac{1}{2} \cdot 4 \cdot 5

((\frac{2}{3})^{2})^{3}

x (x + 5) < 0

(x) (1 \cdot 1 0^{- 2}) = (1 \cdot 1 0^{- 3}) (25)