What is the answer to |x+2|=3 ?

The answer to |x+2|=3 is x=-5\lor x=1

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|x+2|=3

∣ x + 2 ∣ = 3

x = - 5 or x = 1

Solution steps

∣ x + 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 3 or x + 2 = 3

x + 2 = - 3 or x + 2 = 3

x = - 5 or x = 1

\frac{- 2}{5 ^{2}}

\frac{2 x - 2}{3} = ∣ - 4 ∣

4 x^{2} - 4 x + 5 = 0

81 x^{2} + 18 x + 1

\frac{2 x - 5}{3} = \frac{3 x + 4}{2}