SOLUTION: 1/2x-5/3=1/2x+19/4

Algebra ->  Equations -> SOLUTION: 1/2x-5/3=1/2x+19/4      Log On


   



Question 206467: 1/2x-5/3=1/2x+19/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2%29x-5%2F3=%281%2F2%29x%2B19%2F4 Start with the given equation.


Multiply both sides by the LCD 12 to clear any fractions.


6x-20=6x%2B57 Distribute and multiply.


6x=6x%2B57%2B20 Add 20 to both sides.


6x-6x=57%2B20 Subtract 6x from both sides.


0x=57%2B20 Combine like terms on the left side.


0x=77 Combine like terms on the right side.


0=77 Simplify.


Since this equation is never true for any x value, this means that there are no solutions.