SOLUTION: 7x-2 divided by 10 = 9x divided by 4 + 6 I understand that I must get rid of the fractions first but cannot determine how to do this with the fractions on both sides. If I multip

Algebra ->  Equations -> SOLUTION: 7x-2 divided by 10 = 9x divided by 4 + 6 I understand that I must get rid of the fractions first but cannot determine how to do this with the fractions on both sides. If I multip      Log On


   

Question 166459: 7x-2 divided by 10 = 9x divided by 4 + 6
I understand that I must get rid of the fractions first but cannot determine how to do this with the fractions on both sides. If I multipy by 10 on the right side and left side do I then multipy by 4 on both sides.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
7x-2 divided by 10 = 9x divided by 4 + 6
:
%28%287x-2%29%29%2F10 = %289x%29%2F4 + 6
:
Multiply equation by common denominator, a value which is a multiple of 10 and 4
20 would do this for us
20*%28%287x-2%29%29%2F10 = 20*%289x%29%2F4 + 20(6)
:
Cancel out the denominators and you have:
2(7x - 2) = 5(9x) + 120
:
14x - 4 = 45x + 120
:
14x - 45x = 120 + 4
:
-31x = 124
x 124%2F%28-31%29
x = -4
:
:
Check solution in original equation:
%28%287%28-4%29-2%29%29%2F10 = %289%2A-4%29%2F4 + 6
%28%28-28-2%29%29%2F10 = %28-36%29%2F4 + 6
%28%28-30%29%29%2F10 = %28-36%29%2F4 + 6
-3 = -9 + 6; confirms our solution