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

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

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2|x|+1=5

2 ∣ x ∣ + 1 = 5

x = - 2 or x = 2

Solution steps

2 ∣ x ∣ + 1 = 5

Move

1

to the right side

2 ∣ x ∣ = 4

Divide both sides by

2

∣ x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 2 or x = 2

∣ 2 x - 1 ∣ = 2 x

∣ 4 x - 5 ∣ = - 25

∣ 4 x - 5 ∣ = - 27

∣ 9 x - 1 ∣ + 6 = 10

∣ x + 11 ∣ + 2 = 30