What is the answer to 5-|2x+3|=-4 ?

The answer to 5-|2x+3|=-4 is x=-6\lor x=3

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5-|2x+3|=-4

5 - ∣ 2 x + 3 ∣ = - 4

x = - 6 or x = 3

Solution steps

5 - ∣ 2 x + 3 ∣ = - 4

Move

5

to the right side

- ∣ 2 x + 3 ∣ = - 9

Divide both sides by

- 1

∣ 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

- 19 = ∣ - k ∣

7 ∣ 3 - 9 x ∣ = 28

250 = ∣ z - 150 ∣

x^{2} - 4 x - 4 + 4 = 2 x

∣ 3 x - 7 ∣ = x + 3