SOLUTION: How do I check and solve the equation: 2/3x + 2/7 = 3/7x + 1/2 Please help I've tried over and over again but it does not work out right for me.

Algebra ->  Equations -> SOLUTION: How do I check and solve the equation: 2/3x + 2/7 = 3/7x + 1/2 Please help I've tried over and over again but it does not work out right for me.      Log On


   

Question 648521: How do I check and solve the equation:
2/3x + 2/7 = 3/7x + 1/2
Please help I've tried over and over again but it does not work out right for me.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29x+%2B+%282%2F7%29+=+%283%2F7%29x+%2B+1%2F2
Find the LCM of the denominators. In this case, 42 is the LCM.
Multiply every term by 42.
42%2A%282%2F3%29x+%2B+42%2A%282%2F7%29+=+42%2A%283%2F7%29x+%2B+42%2A%281%2F2%29
As you can see everything will no longer be a fraction since we made sure each denominator divides the number we multiplied (42) evenly.
28x+%2B+12+=+18x+%2B+21
10x+=+9
x+=+9%2F10
To check plug 9/10 back in for x
%282%2F3%29%289%2F10%29+%2B+%282%2F7%29+=++%283%2F7%29%289%2F10%29+%2B+1%2F2
%2818%2F30%29+%2B+%282%2F7%29+=+%2827%2F70%29+%2B+1%2F2
Common Denominator : 210
%28126%2F210%29+%2B+%2860%2F210%29+=+%2881%2F210%29+%2B+%28105%2F210%29
186%2F210+=+186%2F210 TRUE
9/10 is most definitely our answer.