SOLUTION: x/5=x-2/7

Algebra ->  Equations -> SOLUTION: x/5=x-2/7      Log On


   

Question 59262: x/5=x-2/7
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
It helps to put parenthesese around the fractions so that we know where they begin and end. If this isn't what you meant, let me know and I'll redo it.
x%2F5=%28x-2%29%2F7 The LCD is 7*5=35, multiply both sides by 35 and clear your fractions.
35x%2F5=35%28x-2%29%2F7
7x=5%28x-2%29
7x=5x-10
7x-5x=-5x%2B5x-10
2x=-10
2x%2F2=-10%2F2
highlight%28x=-5%29
:
Check by letting x=-5 and see if the sides actually equal.
-5%2F5=%28-5-2%29%2F7
-1=-7%2F7
-1=-1 we're right if I interpretted your problem correctly.
Happy Calculating!!!