SOLUTION: solve |x-4|=9

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Question 118331: solve |x-4|=9
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28x-4%29=9 Start with the given equation


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

x-4=-9 or x-4=9 Set the expression x-4 equal to the original value 9 and it's opposite -9




Now lets focus on the first equation x-4=-9


x=-9%2B4Add 4 to both sides


x=-5 Combine like terms on the right side






Now lets focus on the second equation x-4=9



x=9%2B4Add 4 to both sides


x=13 Combine like terms on the right side



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Answer:

So our answers are:

x=-5 or x=13