What is the answer to 2|x+3|+4=16 ?

The answer to 2|x+3|+4=16 is x=-9\lor x=3

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2|x+3|+4=16

2 ∣ x + 3 ∣ + 4 = 16

x = - 9 or x = 3

Solution steps

2 ∣ x + 3 ∣ + 4 = 16

Move

4

to the right side

2 ∣ x + 3 ∣ = 12

Divide both sides by

2

∣ x + 3 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 6 or x + 3 = 6

x + 3 = - 6 or x + 3 = 6

x = - 9 or x = 3

- 9 \leq 27

4 x^{2} = 25 x + 21

14 = 3 y

11 \leq 10 + \frac{x}{- 10}

\frac{x + 5}{4} = \frac{x}{2} + \frac{17}{20}