What is the answer to |-2x+11|=31 ?

The answer to |-2x+11|=31 is x=-10\lor x=21

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|-2x+11|=31

∣ - 2 x + 11 ∣ = 31

x = - 10 or x = 21

Solution steps

∣ - 2 x + 11 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x + 11 = - 31 or - 2 x + 11 = 31

- 2 x + 11 = - 31 or - 2 x + 11 = 31

x = - 10 or x = 21

∣ 4 x - 5 ∣ = 2 x - 1

4 - 8 ∣ x - 2 ∣ = 20

2 x - 7 = ∣ x ∣ + 1

x^{2} - 12 = x

- 5 ∣ 2 - 2 x ∣ = - 50