SOLUTION: what is the absolute value of (4x+1)+6=15

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Question 357123: what is the absolute value of (4x+1)+6=15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%284x%2B1%29%2B6=15 Start with the given equation


abs%284x%2B1%29=9 Subtract 6 from both sides.


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

4x%2B1=-9 or 4x%2B1=9 Set the expression 4x%2B1 equal to the original value 9 and it's opposite -9




Now lets focus on the first equation 4x%2B1=-9


4x=-9-1Subtract 1 from both sides


4x=-10 Combine like terms on the right side


x=%28-10%29%2F%284%29 Divide both sides by 4 to isolate x



x=-5%2F2 Reduce






Now lets focus on the second equation 4x%2B1=9



4x=9-1Subtract 1 from both sides


4x=8 Combine like terms on the right side


x=%288%29%2F%284%29 Divide both sides by 4 to isolate x



x=2 Divide





So the solutions to abs%284x%2B1%29%2B6=15 are:

x=-5%2F2 or x=2


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Jim