What is the answer to 2|x+1|-6=4 ?

The answer to 2|x+1|-6=4 is x=-6\lor x=4

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2|x+1|-6=4

2 ∣ x + 1 ∣ - 6 = 4

x = - 6 or x = 4

Solution steps

2 ∣ x + 1 ∣ - 6 = 4

Move

6

to the right side

2 ∣ x + 1 ∣ = 10

Divide both sides by

2

∣ x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 5 or x + 1 = 5

x + 1 = - 5 or x + 1 = 5

x = - 6 or x = 4

- ∣ x - 6 ∣ + 4 = \frac{x}{2} + 3

∣ x - 3 ∣ + 4 = 2

5 ∣ 2 x - 5 ∣ - 7 = 3

∣ x - 1 ∣ = ∣ x + 1 ∣

\frac{∣ x - 10 ∣}{8} = 1