What is the answer to 6+4|2x+6|=14 ?

The answer to 6+4|2x+6|=14 is x=-4\lor x=-2

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6+4|2x+6|=14

6 + 4 ∣ 2 x + 6 ∣ = 14

x = - 4 or x = - 2

Solution steps

6 + 4 ∣ 2 x + 6 ∣ = 14

Move

6

to the right side

4 ∣ 2 x + 6 ∣ = 8

Divide both sides by

4

∣ 2 x + 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 2 or 2 x + 6 = 2

2 x + 6 = - 2 or 2 x + 6 = 2

x = - 4 or x = - 2

∣ 4 x - 9 ∣ - 9 = x

∣ 3 x - 9 ∣ - 9 = 5 x

2 ∣ 2 r + 4 ∣ = - 16

2 ∣ 4 w - 5 ∣ = 12 w - 18

∣ 4 x + 1 ∣ = 3

What is the answer to 6+4|2x+6|=14 ?
The answer to 6+4|2x+6|=14 is x=-4\lor x=-2
Solve for x: 6+4|2x+6|=14
The solution is x=-4\lor x=-2