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

Answer: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

Answer: x=-1 or x=-4