SOLUTION: Please solve 5/4x+1/8x=5/8+x Please solve this problem

Algebra ->  Average -> SOLUTION: Please solve 5/4x+1/8x=5/8+x Please solve this problem      Log On


   

Question 293151: Please solve
5/4x+1/8x=5/8+x
Please solve this problem
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285%2F4%29x%2B%281%2F8%29x=5%2F8%2Bx Start with the given equation.


8%28%285%2Fcross%284%29%29x%2B%281%2Fcross%288%29%29x%29=8%285%2Fcross%288%29%2Bx%29 Multiply both sides by the LCD 8 to clear any fractions.


10x%2Bx=5%2B8x Distribute and multiply.


11x=5%2B8x Combine like terms on the left side.


11x-8x=5 Subtract 8x from both sides.


3x=5 Combine like terms on the left side.


x=%285%29%2F%283%29 Divide both sides by 3 to isolate x.


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

Answer:

So the solution is x=5%2F3.