What is the answer to |-2x+9|=11 ?

The answer to |-2x+9|=11 is x=-1\lor x=10

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|-2x+9|=11

∣ - 2 x + 9 ∣ = 11

x = - 1 or x = 10

Solution steps

∣ - 2 x + 9 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x + 9 = - 11 or - 2 x + 9 = 11

- 2 x + 9 = - 11 or - 2 x + 9 = 11

x = - 1 or x = 10

2 ∣ x ∣ - 6 = 18

∣ x - 3 ∣ + 1 = 3

\frac{10 ∣ x + 8 ∣}{5} = 24

∣ 6 - x ∣ = 54

x^{2} - 4 = 0.002