What is the answer to 4|2x+7|+4=16 ?

The answer to 4|2x+7|+4=16 is x=-5\lor x=-2

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4|2x+7|+4=16

4 ∣ 2 x + 7 ∣ + 4 = 16

x = - 5 or x = - 2

Solution steps

4 ∣ 2 x + 7 ∣ + 4 = 16

Move

4

to the right side

4 ∣ 2 x + 7 ∣ = 12

Divide both sides by

4

∣ 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

∣ 4 x ∣ - 10 = - 10

169 = ∣ c + 675 ∣ - 6

14 = - 7 ∣ h ∣

8 ∣ x ∣ + 7 = 15

∣ u + 2 ∣ = 11

What is the answer to 4|2x+7|+4=16 ?
The answer to 4|2x+7|+4=16 is x=-5\lor x=-2
Solve for x: 4|2x+7|+4=16
The solution is x=-5\lor x=-2