What is the answer to 3+|8x+16|=3 ?

The answer to 3+|8x+16|=3 is x=-2

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3+|8x+16|=3

3 + ∣ 8 x + 16 ∣ = 3

x = - 2

Solution steps

3 + ∣ 8 x + 16 ∣ = 3

Subtract

3

from both sides

3 + ∣ 8 x + 16 ∣ - 3 = 3 - 3

Simplify

∣ 8 x + 16 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

8 x + 16 = 0

8 x + 16 = 0 : x = - 2

x = - 2

∣ 2 a + 7 ∣ = 9 - 4

5 ∣ x + 3 ∣ - 2 = 18

∣ x ∣ = x^{2} - x

2 x - 5 = ∣ x + 4 ∣

∣ 4 x + 3 ∣ = 16