What is the answer to (|x+2|)/6 =1 ?

The answer to (|x+2|)/6 =1 is x=-8\lor x=4

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(|x+2|)/6 =1

\frac{∣ x + 2 ∣}{6} = 1

x = - 8 or x = 4

Solution steps

\frac{∣ x + 2 ∣}{6} = 1

Multiply both sides by

6

∣ x + 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 8 or x = 4

2 - ∣ k - 1 ∣ = - 6

- ∣ 4 x + 10 ∣ - 7 = - 14

∣ x ∣ = 2 x - 1

∣ 3 x - 7 ∣ + 7 = 12

x^{2} - 3 = 2