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

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

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|x+3|=2

∣ x + 3 ∣ = 2

x = - 5 or x = - 1

Solution steps

∣ x + 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 5 or x = - 1

\frac{14 !}{5 ! 9 !}

24 3^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

2 x - 5 = 17

- \frac{1}{9} (x - 27) + \frac{1}{3} (x + 3) = x - 3

\frac{7}{2} - 5