What is the answer to 8=2|6x+2| ?

The answer to 8=2|6x+2| is x=-1\lor x= 1/3

Solve for x: 8=2|6x+2|

The solution is x=-1\lor x= 1/3

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8 = 2 ∣ 6 x + 2 ∣

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

Decimal

x = - 1, x = 0.33333 \dots

Solution steps

8 = 2 ∣ 6 x + 2 ∣

Switch sides

2 ∣ 6 x + 2 ∣ = 8

Divide both sides by

2

∣ 6 x + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 2 = - 4 or 6 x + 2 = 4

6 x + 2 = - 4 or 6 x + 2 = 4

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

2 ∣ 8 x + 4 ∣ = - 24

∣ 2 y + 3 ∣ = 11

∣ x - 3 ∣ + ∣ x + 9 ∣ = 6

∣ 2 d ∣ + 3 = 21

- 8 ∣ 90 - 9 u ∣ = 0