What is the answer to -4|3+x|-7=-15 ?

The answer to -4|3+x|-7=-15 is x=-5\lor x=-1

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-4|3+x|-7=-15

- 4 ∣ 3 + x ∣ - 7 = - 15

x = - 5 or x = - 1

Solution steps

- 4 ∣ 3 + x ∣ - 7 = - 15

Move

7

to the right side

- 4 ∣ 3 + x ∣ = - 8

Divide both sides by

- 4

∣ 3 + x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 5 or x = - 1

∣ x + 6 ∣ = 28

∣ x - 29 ∣ = 49

6 ∣ 2 x + 5 ∣ = 6 x + 24

x^{2} - 2 x - 1 = 7

22 = ∣ 2 c - 12 ∣

What is the answer to -4|3+x|-7=-15 ?
The answer to -4|3+x|-7=-15 is x=-5\lor x=-1
Solve for x: -4|3+x|-7=-15
The solution is x=-5\lor x=-1