What is the answer to -5|x-7|=-30 ?

The answer to -5|x-7|=-30 is x=1\lor x=13

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-5|x-7|=-30

- 5 ∣ x - 7 ∣ = - 30

x = 1 or x = 13

Solution steps

- 5 ∣ x - 7 ∣ = - 30

Divide both sides by

- 5

∣ x - 7 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 6 or x - 7 = 6

x - 7 = - 6 or x - 7 = 6

x = 1 or x = 13

2 x^{2} - 3 ∣ x + 3 ∣ + 5 - 8 = 0

9 ∣ 8 x + 3 ∣ - 9 = 18

∣ x ∣ + 8 = 17

∣ x + 5 ∣ - 2 = 11

- ∣ x ∣ = - \frac{4}{5}