What is the answer to 2|2x+5|+1=3 ?

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

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2|2x+5|+1=3

2 ∣ 2 x + 5 ∣ + 1 = 3

x = - 3 or x = - 2

Solution steps

2 ∣ 2 x + 5 ∣ + 1 = 3

Move

1

to the right side

2 ∣ 2 x + 5 ∣ = 2

Divide both sides by

2

∣ 2 x + 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 3 or x = - 2

x^{2} - 14 x + 44 = 0

(8 x^{3})^{2}

6 m^{2} - 15 m

5 a^{2} - 80

6 q^{2} - 6 q = 5 q^{2} - 8 q + 24