3|2x+5|-9 = 0 solve the absolute value equation

x=−1 or x=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

3(|2x+5|)−9=0

Step 1: Add 9 to both sides.

3(|2x+5|)−9+9=0+9

3(|2x+5|)=9

Step 2: Divide both sides by 3.

3(|2x+5|)

3

=

9

3

|2x+5|=3

Step 3: Solve Absolute Value.

|2x+5|=3

We know either2x+5=3or2x+5=−3

2x+5=3(Possibility 1)

2x+5−5=3−5(Subtract 5 from both sides)

2x=−2

2x

2

=

−2

2

(Divide both sides by 2)

x=−1

2x+5=−3(Possibility 2)

2x+5−5=−3−5(Subtract 5 from both sides)

2x=−8

2x

2

=

−8

2

(Divide both sides by 2)

x=−4

x=−1 or x=−4

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