SOLUTION: |2c+5|=21

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Question 554746: |2c+5|=21
Found 2 solutions by jim_thompson5910, modernfish:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%282c%2B5%29=21 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

2c%2B5=-21 or 2c%2B5=21 Set the expression 2c%2B5 equal to the original value 21 and it's opposite -21




Now lets focus on the first equation 2c%2B5=-21


2c=-21-5Subtract 5 from both sides


2c=-26 Combine like terms on the right side


c=%28-26%29%2F%282%29 Divide both sides by 2 to isolate c



c=-13 Divide






Now lets focus on the second equation 2c%2B5=21



2c=21-5Subtract 5 from both sides


2c=16 Combine like terms on the right side


c=%2816%29%2F%282%29 Divide both sides by 2 to isolate c



c=8 Divide





So the solutions to abs%282c%2B5%29=21 are:

c=-13 or c=8


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Answer by modernfish(1) About Me  (Show Source):
You can put this solution on YOUR website!
|2c+5|=21
-2 -2
c+3=21