What is the answer to -10|x+2|=-70 ?

The answer to -10|x+2|=-70 is x=-9\lor x=5

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-10|x+2|=-70

- 10 ∣ x + 2 ∣ = - 70

x = - 9 or x = 5

Solution steps

- 10 ∣ x + 2 ∣ = - 70

Divide both sides by

- 10

∣ x + 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 7 or x + 2 = 7

x + 2 = - 7 or x + 2 = 7

x = - 9 or x = 5

\frac{n}{5} - 3 = - 2

∣ - 9 + a ∣ = 11

∣ x - 8 ∣ = 20

∣ 3 x - 5 ∣ + x - 7 = 0

y^{2} = - ∣ y ∣ + 12