What is the answer to 2|x+9|-4=12 ?

The answer to 2|x+9|-4=12 is x=-17\lor x=-1

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2|x+9|-4=12

2 ∣ x + 9 ∣ - 4 = 12

x = - 17 or x = - 1

Solution steps

2 ∣ x + 9 ∣ - 4 = 12

Move

4

to the right side

2 ∣ x + 9 ∣ = 16

Divide both sides by

2

∣ x + 9 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 8 or x + 9 = 8

x + 9 = - 8 or x + 9 = 8

x = - 17 or x = - 1

- 3 x^{2} - 10 x - 8 = 0

3 (x + 4) - 6 x = 8 - 3 (x - 5)

\frac{1}{2} b - \frac{1}{2} = - \frac{1}{2} b + \frac{2}{3}

- 7 > g - 21

(x^{3})^{\frac{1}{2}}