SOLUTION: |3x -5|=22 please help solve

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Question 163779: |3x -5|=22

please help solve
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%283x-5%29=22 Start with the given equation


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

3x-5=-22 or 3x-5=22 Set the expression 3x-5 equal to the original value 22 and it's opposite -22




Now lets focus on the first equation 3x-5=-22


3x=-22%2B5Add 5 to both sides


3x=-17 Combine like terms on the right side


x=%28-17%29%2F%283%29 Divide both sides by 3 to isolate x



x=-17%2F3 Reduce






Now lets focus on the second equation 3x-5=22



3x=22%2B5Add 5 to both sides


3x=27 Combine like terms on the right side


x=%2827%29%2F%283%29 Divide both sides by 3 to isolate x



x=9 Divide





So the solutions to abs%283x-5%29=22 are:

x=-17%2F3 and x=9