SOLUTION: what is the solution for x in absolute value of 3x-3 =5

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Question 306953: what is the solution for x in absolute value of 3x-3 =5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%283x-3%29=5 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-3=-5 or 3x-3=5 Set the expression 3x-3 equal to the original value 5 and it's opposite -5


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


3x=-5%2B3Add 3 to both sides


3x=-2 Combine like terms on the right side


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


x=-2%2F3 Reduce


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


3x=5%2B3Add 3 to both sides


3x=8 Combine like terms on the right side


x=%288%29%2F%283%29 Divide both sides by 3 to isolate x


x=8%2F3 Reduce


So the solutions are x=-2%2F3 or x=8%2F3