What is the answer to -2|2x+3|=-18 ?

The answer to -2|2x+3|=-18 is x=-6\lor x=3

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-2|2x+3|=-18

- 2 ∣ 2 x + 3 ∣ = - 18

x = - 6 or x = 3

Solution steps

- 2 ∣ 2 x + 3 ∣ = - 18

Divide both sides by

- 2

∣ 2 x + 3 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 3 = - 9 or 2 x + 3 = 9

2 x + 3 = - 9 or 2 x + 3 = 9

x = - 6 or x = 3

∣ 7 - 7 b ∣ = 0

3 ∣ x + 5 ∣ + 9 = 4

∣ 4 - x ∣ = ∣ x + 13 ∣

z^{2} ∣ z ∣^{2} = 4

∣ x + 4 ∣ - 3 = 15