SOLUTION: How do I solve for the variable in this equation? 3(x+2/5)= x-1/3. I can't remember how to solve this, and I can't refer to the notes I took because they have been collected. This

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: How do I solve for the variable in this equation? 3(x+2/5)= x-1/3. I can't remember how to solve this, and I can't refer to the notes I took because they have been collected. This       Log On


   

Question 946197: How do I solve for the variable in this equation? 3(x+2/5)= x-1/3. I can't remember how to solve this, and I can't refer to the notes I took because they have been collected. This is an online class.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
3%28%28x%2B2%29%2F5%29+=+%28%28x-1%29%29%2F3
distribute the 3
%283x%2B6%29%2F5+=+%28%28x-1%29%29%2F3
cross multiply
3(3x + 6) = 5(x-1)
9x + 18 = 5x - 5
9x - 5x = -5 - 18
4x = -23
x = -23/4
x = -5.75
:
:
YOu can confirm this for youself
3%28%28-5.75%2B2%29%2F5%29+=+%28%28-5.75-1%29%29%2F3