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1 March, 08:07

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

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Answers (1)
  1. 1 March, 10:13
    0
    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
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