SOLUTION: what are the solutions to the absolute value equation /x+7/+5=17 ? /=absolute value bars choices: A 5 and -19 B 5 and -5 C 19 and -5 D 12 adn -5

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Question 118682: what are the solutions to the absolute value equation /x+7/+5=17 ?
/=absolute value bars
choices:
A 5 and -19
B 5 and -5
C 19 and -5
D 12 adn -5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28x%2B7%29%2B5=17 Start with the given equation


abs%28x%2B7%29=12 Subtract 5 from both sides.


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

x%2B7=-12 or x%2B7=12 Set the expression x%2B7 equal to the original value 12 and it's opposite -12




Now lets focus on the first equation x%2B7=-12


x=-12-7Subtract 7 from both sides


x=-19 Combine like terms on the right side

So our first solution is x=-19




Now lets focus on the second equation x%2B7=12


x=12-7Subtract 7 from both sides


x=5 Combine like terms on the right side


So our second solution is x=5



So this means the answer is x=-19 or x=5 which means the answer is A)