What is the answer to 5=|-2x-3| ?

The answer to 5=|-2x-3| is x=-4\lor x=1

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5=|-2x-3|

5 = ∣ - 2 x - 3 ∣

x = - 4 or x = 1

Solution steps

5 = ∣ - 2 x - 3 ∣

Switch sides

∣ - 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x - 3 = - 5 or - 2 x - 3 = 5

- 2 x - 3 = - 5 or - 2 x - 3 = 5

x = - 4 or x = 1

x^{2} + 5 x + 1 = 4

3 ∣ 2 x - 3 ∣ - 5 = - 4

∣ - 6 n + 7 ∣ = 37

204 = ∣ z - 300 ∣ + 4

∣ p - 4 ∣ = 5