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

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


   

Question 147110: 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%2B6x=57%2B20 Add 6x to both sides.


12x=57%2B20 Combine like terms on the left side.


12x=77 Combine like terms on the right side.


x=%2877%29%2F%2812%29 Divide both sides by 12 to isolate x.


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

Answer:

So the answer is x=77%2F12


Which approximates to x=6.417