What is the answer to 8|2x+7|-1=23 ?

The answer to 8|2x+7|-1=23 is x=-5\lor x=-2

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8|2x+7|-1=23

8 ∣ 2 x + 7 ∣ - 1 = 23

x = - 5 or x = - 2

Solution steps

8 ∣ 2 x + 7 ∣ - 1 = 23

Move

1

to the right side

8 ∣ 2 x + 7 ∣ = 24

Divide both sides by

8

∣ 2 x + 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 3 or 2 x + 7 = 3

2 x + 7 = - 3 or 2 x + 7 = 3

x = - 5 or x = - 2

∣ 25 - 4 x ∣ = 32

- 2 ∣ 5 x ∣ = - 18

- 7 ∣ y + 2 ∣ = - 49

11 ∣ x - 8 ∣ - 7 = - 48

∣ 4 x + 12 ∣ - 4 = 4

What is the answer to 8|2x+7|-1=23 ?
The answer to 8|2x+7|-1=23 is x=-5\lor x=-2
Solve for x: 8|2x+7|-1=23
The solution is x=-5\lor x=-2