What is the answer to 2|x+9|+3=7 ?

The answer to 2|x+9|+3=7 is x=-11\lor x=-7

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2|x+9|+3=7

2 ∣ x + 9 ∣ + 3 = 7

x = - 11 or x = - 7

Solution steps

2 ∣ x + 9 ∣ + 3 = 7

Move

3

to the right side

2 ∣ x + 9 ∣ = 4

Divide both sides by

2

∣ x + 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 2 or x + 9 = 2

x + 9 = - 2 or x + 9 = 2

x = - 11 or x = - 7

∣ 14 - 3 b ∣ = 5

∣ 15 - 3 b ∣ = 21

∣ y - 3 ∣ = 7

∣ 5 x - 9 ∣ = - 1

∣ x + 11 ∣ = 46