SOLUTION: please help me solve this equation: 2 |x+7| = 14

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Question 335983: please help me solve this equation: 2 |x+7| = 14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Aabs%28x%2B7%29=14 Start with the given equation


abs%28x%2B7%29=7 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%2B7=-7 or x%2B7=7 Set the expression x%2B7 equal to the original value 7 and it's opposite -7




Now lets focus on the first equation x%2B7=-7


x=-7-7Subtract 7 from both sides


x=-14 Combine like terms on the right side






Now lets focus on the second equation x%2B7=7



x=7-7Subtract 7 from both sides


x=0 Combine like terms on the right side





So the solutions to 2%2Aabs%28x%2B7%29=14 are:

x=-14 and x=0


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim