SOLUTION: 2|x+3|-1=7

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Question 602551: 2|x+3|-1=7
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Aabs%28x%2B3%29-1=7 Start with the given equation


2%2Aabs%28x%2B3%29=8 Add 1 to both sides.


abs%28x%2B3%29=4 Divide both sides by 2



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

x%2B3=-4 or x%2B3=4 Set the expression x%2B3 equal to the original value 4 and it's opposite -4




Now lets focus on the first equation x%2B3=-4


x=-4-3Subtract 3 from both sides


x=-7 Combine like terms on the right side

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Now lets focus on the second equation x%2B3=4



x=4-3Subtract 3 from both sides


x=1 Combine like terms on the right side





So the solutions to 2%2Aabs%28x%2B3%29-1=7 are:

x=-7 or x=1