Answer:
the lines represent absolute value bars
[tex]x=0,10[/tex]
Step-by-step explanation:
STEP 1: Move all terms not containing |5−x| to the right side of the equation.
[tex]3|5-x|=15[/tex]
STEP 2: Divide each term by 3 and simplify.
[tex]|5-x|=5[/tex]
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.
[tex]5-x=5[/tex]
STEP 5: Solve the first equation for x.
[tex]x=0[/tex]
STEP 6: Set up the negative portion of the ± solution.
[tex]5-x=-5[/tex]
STEP 7: Solve the second equation for x.
[tex]x=10[/tex]
NOTE: The solution to the equation includes both the positive and negative portions of the solution.
[tex]x=0,10[/tex]
