SOLUTION: solve the following equation by clearing fractions. please show all of your work 5/2-3x=6/7-4x

Algebra ->  Equations -> SOLUTION: solve the following equation by clearing fractions. please show all of your work 5/2-3x=6/7-4x      Log On


   

Question 555206: solve the following equation by clearing fractions. please show all of your work
5/2-3x=6/7-4x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F2-3x=6%2F7-4x Start with the given equation.


14%285%2Fcross%282%29-3x%29=14%286%2Fcross%287%29-4x%29 Multiply both sides by the LCD 14 to clear any fractions.


35-42x=12-56x Distribute and multiply.


-42x=12-56x-35 Subtract 35 from both sides.


-42x%2B56x=12-35 Add 56x to both sides.


14x=12-35 Combine like terms on the left side.


14x=-23 Combine like terms on the right side.


x=%28-23%29%2F%2814%29 Divide both sides by 14 to isolate x.


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

Answer:

So the solution is x=-23%2F14


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim