What is the answer to -|2x-5|=-9 ?

The answer to -|2x-5|=-9 is x=-2\lor x=7

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-|2x-5|=-9

- ∣ 2 x - 5 ∣ = - 9

x = - 2 or x = 7

Solution steps

- ∣ 2 x - 5 ∣ = - 9

Divide both sides by

- 1

∣ 2 x - 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 9 or 2 x - 5 = 9

2 x - 5 = - 9 or 2 x - 5 = 9

x = - 2 or x = 7

∣ x ∣^{2} = x^{2}

2 ∣ - 3 x - 12 ∣ - 10 = 8

∣ 7 x - 5 ∣ - 10 = - 10

∣ 2 - x ∣ = 0

∣ x + 7 ∣ = 1