What is the answer to 2|x+3|=8 ?

The answer to 2|x+3|=8 is x=-7\lor x=1

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2|x+3|=8

2 ∣ x + 3 ∣ = 8

x = - 7 or x = 1

Solution steps

2 ∣ x + 3 ∣ = 8

Divide both sides by

2

∣ x + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 4 or x + 3 = 4

x + 3 = - 4 or x + 3 = 4

x = - 7 or x = 1

∣ v + 345 ∣ = 15

5 a^{2} - 11 ∣ a ∣ + 2 = 0

∣ 6 x - 9 ∣ = 0

∣ n ∣ + 3 = 13

∣ 6 x - 8 ∣ - 14 = - 9