SOLUTION: what is the solution set of the equation |3-2x|=5? (1){-1,4} (2){1,-4} (3){-1} (4){4}

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: what is the solution set of the equation |3-2x|=5? (1){-1,4} (2){1,-4} (3){-1} (4){4}      Log On


   

Question 596188: what is the solution set of the equation |3-2x|=5?
(1){-1,4} (2){1,-4} (3){-1} (4){4}
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%283-2x%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)

3-2x=-5 or 3-2x=5 Set the expression 3-2x equal to the original value 5 and it's opposite -5




Now lets focus on the first equation 3-2x=-5


-2x=-5-3Subtract 3 from both sides


-2x=-8 Combine like terms on the right side


x=%28-8%29%2F%28-2%29 Divide both sides by -2 to isolate x



x=4 Divide






Now lets focus on the second equation 3-2x=5



-2x=5-3Subtract 3 from both sides


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


x=%282%29%2F%28-2%29 Divide both sides by -2 to isolate x



x=-1 Divide





So the solutions to abs%283-2x%29=5 are:

x=4 or x=-1


This means that the solution set is {-1,4}