SOLUTION: solve 25/8=1/3b+3/2-5/2b

Algebra ->  Linear-equations -> SOLUTION: solve 25/8=1/3b+3/2-5/2b      Log On


   



Question 622094: solve
25/8=1/3b+3/2-5/2b

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
25%2F8=%281%2F3%29b%2B3%2F2-%285%2F2%29b Start with the given equation.


Multiply both sides by the LCD 24 to clear any fractions.


75=8b%2B36-60b Distribute and multiply.


75=-52b%2B36 Combine like terms on the right side.


0=-52b%2B36-75 Subtract 75 from both sides.


52b=36-75 Add 52b to both sides.


52b=-39 Combine like terms on the right side.


b=%28-39%29%2F%2852%29 Divide both sides by 52 to isolate b.


b=-3%2F4 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is b=-3%2F4