What is the answer to -3|x+4|+5=-7 ?

The answer to -3|x+4|+5=-7 is x=-8\lor x=0

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-3|x+4|+5=-7

- 3 ∣ x + 4 ∣ + 5 = - 7

x = - 8 or x = 0

Solution steps

- 3 ∣ x + 4 ∣ + 5 = - 7

Move

5

to the right side

- 3 ∣ x + 4 ∣ = - 12

Divide both sides by

- 3

∣ x + 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - 4 or x + 4 = 4

x + 4 = - 4 or x + 4 = 4

x = - 8 or x = 0

∣ 3 x - 12 ∣ = x - 2

∣ x - 2 ∣ = 5 x + 10

∣ 2 w - 10 ∣ = 4

∣ 6 - 6 x ∣ = 48

\frac{x}{3} = 4