What is the answer to 4|x+5|=28 ?

The answer to 4|x+5|=28 is x=-12\lor x=2

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4|x+5|=28

4 ∣ x + 5 ∣ = 28

x = - 12 or x = 2

Solution steps

4 ∣ x + 5 ∣ = 28

Divide both sides by

4

∣ x + 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - 7 or x + 5 = 7

x + 5 = - 7 or x + 5 = 7

x = - 12 or x = 2

x^{2} - 8 = 4

2 ∣ 4 x - 3 ∣ - 8 = - 3

∣ x + 7 ∣ = 27

∣ 3 x + 1 ∣ = 6 x + 2

∣ x ∣ - x = 0