What is the answer to 7|4x+8|-6=106 ?

The answer to 7|4x+8|-6=106 is x=-6\lor x=2

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7|4x+8|-6=106

7 ∣ 4 x + 8 ∣ - 6 = 106

x = - 6 or x = 2

Solution steps

7 ∣ 4 x + 8 ∣ - 6 = 106

Move

6

to the right side

7 ∣ 4 x + 8 ∣ = 112

Divide both sides by

7

∣ 4 x + 8 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 8 = - 16 or 4 x + 8 = 16

4 x + 8 = - 16 or 4 x + 8 = 16

x = - 6 or x = 2

2 - \frac{x}{3} = 1

2 ∣ 3 x - 8 ∣ = 10

∣ - 9 x + 2 ∣ + 8 = 5

- 5 ∣ n - 10 ∣ = - 15

∣ 2 x + 7 ∣ - 3 = 9

What is the answer to 7|4x+8|-6=106 ?
The answer to 7|4x+8|-6=106 is x=-6\lor x=2
Solve for x: 7|4x+8|-6=106
The solution is x=-6\lor x=2