What is the answer to 5|x+3|-2=18 ?

The answer to 5|x+3|-2=18 is x=-7\lor x=1

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5|x+3|-2=18

5 ∣ x + 3 ∣ - 2 = 18

x = - 7 or x = 1

Solution steps

5 ∣ x + 3 ∣ - 2 = 18

Move

2

to the right side

5 ∣ x + 3 ∣ = 20

Divide both sides by

5

∣ 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

∣ x ∣ = x^{2} - x

2 x - 5 = ∣ x + 4 ∣

∣ 4 x + 3 ∣ = 16

\frac{x}{2} + \frac{1}{3} = 4

x^{2} - 4 + 9 = 5