SOLUTION: Hi! Solve the equation 4abs( 3-x) + 3 = 15 thanks!

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Question 198475: Hi!
Solve the equation 4abs( 3-x) + 3 = 15
thanks!
Answer by jim_thompson5910(21682) About Me  (Show Source):
You can put this solution on YOUR website!

4%2Aabs%283-x%29%2B3=15 Start with the given equation


4%2Aabs%283-x%29=12 Subtract 3 from both sides.


abs%283-x%29=3 Divide both sides by 4



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

3-x=-3 or 3-x=3 Set the expression 3-x equal to the original value 3 and it's opposite -3




Now lets focus on the first equation 3-x=-3


-x=-3-3Subtract 3 from both sides


-x=-6 Combine like terms on the right side


x=%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=6 Divide






Now lets focus on the second equation 3-x=3



-x=3-3Subtract 3 from both sides


-x=0 Combine like terms on the right side


x=%280%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=0 Divide





So the solutions to 4%2Aabs%283-x%29%2B3=15 are:

x=6 and x=0