What is the answer to -|4+x|=-10 ?

The answer to -|4+x|=-10 is x=-14\lor x=6

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-|4+x|=-10

- ∣ 4 + x ∣ = - 10

x = - 14 or x = 6

Solution steps

- ∣ 4 + x ∣ = - 10

Divide both sides by

- 1

∣ 4 + x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + x = - 10 or 4 + x = 10

4 + x = - 10 or 4 + x = 10

x = - 14 or x = 6

10 = ∣ 3 x - 5 ∣

∣ 3 x - 5 ∣ - 4 = 0

2 ∣ x - 2 ∣ - 3 = 9

∣ 2 x - 5 ∣ + 2 = 3

x^{2} - 8 ∣ x ∣ + 12 = 0