What is the answer to |2x+9|-5=-5 ?

The answer to |2x+9|-5=-5 is x=-9/2

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|2x+9|-5=-5

∣ 2 x + 9 ∣ - 5 = - 5

x = - \frac{9}{2}

Solution steps

∣ 2 x + 9 ∣ - 5 = - 5

Add

5

to both sides

∣ 2 x + 9 ∣ - 5 + 5 = - 5 + 5

Simplify

∣ 2 x + 9 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x + 9 = 0

2 x + 9 = 0 : x = - \frac{9}{2}

x = - \frac{9}{2}

- 3 ∣ 3 x - 2 ∣ - 12 = - 6

5 n + 24 = ∣ 8 - 3 n ∣

3 ∣ x + 1 ∣ - 4 = 5

- ∣ b - 4 ∣ + 8 = 10

∣ 2 g + 6 ∣ = 0