SOLUTION: x/5 - x+2/3 = 1/15 I can't seem to get this, help please?

Algebra ->  Inverses -> SOLUTION: x/5 - x+2/3 = 1/15 I can't seem to get this, help please?      Log On


   

Question 7750: x/5 - x+2/3 = 1/15
I can't seem to get this, help please?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2F5%29+-+x+%2B+%282%2F3%29+=+1%2F15 Multiply by 15 to clear the fractions.
3x+-+15x+%2B+10+=+1 Simplify and solve for x.
-12x+%2B+10+=+1 Add 12x to both sides.
10+=+12x+%2B+1 Subtract 1 from both sides.
9+=+12x Divide both sides by 12.
x+=+9%2F12 Simplify.
x+=+3%2F4
Check:
%283%2F4%29%2F5+-+3%2F4+%2B+2%2F3+=+1%2F15
%283%2F4%29%2A%281%2F5%29+-+3%2F4+%2B+2%2F3+=+1%2F15
3%2F20+-+3%2F4+%2B+2%2F3+=+1%2F15 Combime the fractions. LCD = 60
9%2F60+-+45%2F60+%2B+40%2F60+=+4%2F60
49%2F60+-+45%2F60+=+4%2F60
4%2F60+=+4%2F60 Simplify.
1%2F15+=+1%2F15