SOLUTION: how do you solve..7[x+3]=42

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Question 207552: how do you solve..7[x+3]=42
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7%2Aabs%28x%2B3%29=42 Start with the given equation


abs%28x%2B3%29=6 Divide both sides by 7



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

x%2B3=-6 or x%2B3=6 Set the expression x%2B3 equal to the original value 6 and it's opposite -6




Now lets focus on the first equation x%2B3=-6


x=-6-3Subtract 3 from both sides


x=-9 Combine like terms on the right side

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Now lets focus on the second equation x%2B3=6


x=6-3Subtract 3 from both sides


x=3 Combine like terms on the right side


So the solutions are x=-9 or x=3