What is the answer to 15=5|3x+3| ?

The answer to 15=5|3x+3| is x=-2\lor x=0

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15=5|3x+3|

15 = 5 ∣ 3 x + 3 ∣

x = - 2 or x = 0

Solution steps

15 = 5 ∣ 3 x + 3 ∣

Switch sides

5 ∣ 3 x + 3 ∣ = 15

Divide both sides by

5

∣ 3 x + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 2 or x = 0

- ∣ b - 4 ∣ = 24

∣ x - 1 ∣ ∣ - 6 ∣ = 5

x - ∣ x ∣ = a

∣ 9 - 4 n ∣ = 37

∣ 4 + x ∣ = 2