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

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

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8=2|x|-6

8 = 2 ∣ x ∣ - 6

x = - 7 or x = 7

Solution steps

8 = 2 ∣ x ∣ - 6

Switch sides

2 ∣ x ∣ - 6 = 8

Move

6

to the right side

2 ∣ x ∣ = 14

Divide both sides by

2

∣ x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 7 or x = 7

∣ x + 1 ∣ = 4 - ∣ 3 x - 2 ∣

∣ x - 5 ∣ = 0.02

x + \frac{2}{2} = 2

4 + ∣ 3 x - 10 ∣ = 15

∣ x ∣ + 4 = 17