What is the answer to 1+3|2x+1|=16 ?

The answer to 1+3|2x+1|=16 is x=-3\lor x=2

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1+3|2x+1|=16

1 + 3 ∣ 2 x + 1 ∣ = 16

x = - 3 or x = 2

Solution steps

1 + 3 ∣ 2 x + 1 ∣ = 16

Move

1

to the right side

3 ∣ 2 x + 1 ∣ = 15

Divide both sides by

3

∣ 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

- ∣ 8 - 5 x ∣ - 10 = - 19

4 - 5 ∣ 4 x - 2 ∣ = - 41

∣ 2 x + 4 ∣ = 18

2 + 2 ∣ 2 x - 7 ∣ = 24

∣ 4 x + 1 ∣ + 1 = 3 x