What is the answer to 2(|x+4|+3)=6 ?

The answer to 2(|x+4|+3)=6 is x=-4

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2(|x+4|+3)=6

2 (∣ x + 4 ∣ + 3) = 6

x = - 4

Solution steps

2 (∣ x + 4 ∣ + 3) = 6

Divide both sides by

2

∣ x + 4 ∣ + 3 = 3

Move

3

to the right side

∣ x + 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x + 4 = 0

x + 4 = 0 : x = - 4

x = - 4

m^{2} + 12 m - 64 = 0

\frac{x}{2} + 2 x \leq x + 1

\frac{( - 7 ) - 4}{( - 7 ) ^{2} - 16}

15 a - 4 \leq 12 a + 5

k^{2} + 5 k + 6