What is the answer to 3|2x+5|-11=-2 ?

The answer to 3|2x+5|-11=-2 is x=-4\lor x=-1

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3|2x+5|-11=-2

3 ∣ 2 x + 5 ∣ - 11 = - 2

x = - 4 or x = - 1

Solution steps

3 ∣ 2 x + 5 ∣ - 11 = - 2

Move

11

to the right side

3 ∣ 2 x + 5 ∣ = 9

Divide both sides by

3

∣ 2 x + 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 3 or 2 x + 5 = 3

2 x + 5 = - 3 or 2 x + 5 = 3

x = - 4 or x = - 1

∣ 2 y - 5 ∣ = 29

x^{2} + x - 9 = 3

∣ 7 - 4 x ∣ = 3

6 ∣ x ∣ = 24

∣ 3 x - 9 ∣ = 21

What is the answer to 3|2x+5|-11=-2 ?
The answer to 3|2x+5|-11=-2 is x=-4\lor x=-1
Solve for x: 3|2x+5|-11=-2
The solution is x=-4\lor x=-1