What is the answer to 4|x+9|+5=33 ?

The answer to 4|x+9|+5=33 is x=-16\lor x=-2

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4|x+9|+5=33

4 ∣ x + 9 ∣ + 5 = 33

x = - 16 or x = - 2

Solution steps

4 ∣ x + 9 ∣ + 5 = 33

Move

5

to the right side

4 ∣ x + 9 ∣ = 28

Divide both sides by

4

∣ x + 9 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 7 or x + 9 = 7

x + 9 = - 7 or x + 9 = 7

x = - 16 or x = - 2

y^{2} - 10 ∣ y ∣ + 24 = 0

\frac{x}{3} + 3 = 5

\frac{v}{3} = 1

x^{2} + ∣ 2 x - 1 ∣ = x - 1

∣ x - 3 ∣ + 7 = 2