SOLUTION: Solve each absolute value equation |8-3x|=2

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Question 174186This question is from textbook algebra 1
: Solve each absolute value equation
|8-3x|=2 This question is from textbook algebra 1

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

abs%288-3x%29=2 Start with the given equation


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

8-3x=-2 or 8-3x=2 Set the expression 8-3x equal to the original value 2 and it's opposite -2




Now lets focus on the first equation 8-3x=-2


-3x=-2-8Subtract 8 from both sides


-3x=-10 Combine like terms on the right side


x=%28-10%29%2F%28-3%29 Divide both sides by -3 to isolate x



x=10%2F3 Reduce






Now lets focus on the second equation 8-3x=2



-3x=2-8Subtract 8 from both sides


-3x=-6 Combine like terms on the right side


x=%28-6%29%2F%28-3%29 Divide both sides by -3 to isolate x



x=2 Divide





So the solutions are:

x=10%2F3 or x=2