SOLUTION: I apologize but I do not have much information on the problem - it is for a 9th grade student and I have been out of school for a really long time and do not remember how to do alg

Algebra ->  Equations -> SOLUTION: I apologize but I do not have much information on the problem - it is for a 9th grade student and I have been out of school for a really long time and do not remember how to do alg      Log On


   

Question 55897: I apologize but I do not have much information on the problem - it is for a 9th grade student and I have been out of school for a really long time and do not remember how to do algebra. The problem is:

4/5x-7=21+9/10x
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
If x is in the denominator of the fraction, this is how you do it:
4%2F5x-7=21%2B9%2F10x The LCD (lowest common denominator) is 10x, multiply both sides of the = sign by 10x.
10x%284%2F5x-7%29=10x%2821%2B9%2F10x%29
40x%2F5x-70x=210x%2B90x%2F10x
8-70x=210x%2B9
8-70x%2B70x=70x%2B210x%2B9
8=280x%2B9
8-9=280x%2B9-9
-1=280x
-1%2F280=280x%2F280
-1%2F280=x
If this is what you meant, this is how you do it:
%284%2F5%29x-7=21%2B%289%2F10%29x The LCD is 10 and the fractions can be eliminated by multiplying both sides of the = sign by 10.
10%28%284%2F5%29x-7%29=10%2821%2B%289%2F10%29x%29
%2840%2F5%29x-70=210%2B%2890%2F10%29x
8x-70=210%2B9x
-8x%2B8x-70=210%2B9x-8x
-70=210%2Bx
-210-70=-210%2B210%2Bx
-280=x
Happy Calculating!!!