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

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

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6|x+2|=6

6 ∣ x + 2 ∣ = 6

x = - 3 or x = - 1

Solution steps

6 ∣ x + 2 ∣ = 6

Divide both sides by

6

∣ x + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 1 or x + 2 = 1

x + 2 = - 1 or x + 2 = 1

x = - 3 or x = - 1

∣ 3 X + 5 ∣ = 7

16 = 4 ∣ h ∣

\frac{k}{6} - 9 = - 8

2 ∣ 2 x - 3 ∣ = 14

∣ b + 7 ∣ - 3 = 6