Mathematics: 9+3|5-x|=24 What is the lines for and how do I solve X with them?

Step-by-step explanation:yard; the ratio of feet to yards is...

9+3|5-x|=24 What is the lines for and how do I solve

briarkaltvedt

11.02.2022

the lines represent absolute value bars

x=0,10

Step-by-step explanation:

STEP 1: Move all terms not containing |5−x| to the right side of the equation.

3|5-x|=15

STEP 2: Divide each term by 3 and simplify.

|5-x|=5

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

5-x=±5

STEP 4: Set up the positive portion of the ± solution.

5-x=5

STEP 5: Solve the first equation for x.

x=0

STEP 6: Set up the negative portion of the ± solution.

5-x=-5

STEP 7: Solve the second equation for x.

x=10

NOTE: The solution to the equation includes both the positive and negative portions of the solution.

x=0,10

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