What is the answer to |-6+x|-9=15 ?

The answer to |-6+x|-9=15 is x=-18\lor x=30

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|-6+x|-9=15

∣ - 6 + x ∣ - 9 = 15

x = - 18 or x = 30

Solution steps

∣ - 6 + x ∣ - 9 = 15

Move

9

to the right side

∣ - 6 + x ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 + x = - 24 or - 6 + x = 24

- 6 + x = - 24 or - 6 + x = 24

x = - 18 or x = 30

\frac{5}{x + 4} \geq 1

2 - 3 x \leq 8

(0.15) x^{2} + x = 0

9 x (x - 6) = 81

100 x^{4} - 60 x^{2} y + 9 y^{2}