What is the answer to 5-|2x+1|=0 ?

The answer to 5-|2x+1|=0 is x=-3\lor x=2

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5-|2x+1|=0

5 - ∣ 2 x + 1 ∣ = 0

x = - 3 or x = 2

Solution steps

5 - ∣ 2 x + 1 ∣ = 0

Move

5

to the right side

- ∣ 2 x + 1 ∣ = - 5

Divide both sides by

- 1

∣ 2 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 5 or 2 x + 1 = 5

2 x + 1 = - 5 or 2 x + 1 = 5

x = - 3 or x = 2

∣ x + 1 ∣ + ∣ 2 x + 4 ∣ = 5

[\frac{x}{9}] = - 1, - 5 < x < 0

∣ x - 5 ∣ + 7 = 17

z^{2} = ∣ z ∣^{2}

x^{2} - ∣ a - 1 ∣ x + 1 = ∣ x ∣