SOLUTION: This one is totally escaping me, help on solving would be greatly appreciated. x/3 - 7/8 = 2/5(x + 15/4) Thank you.

Algebra ->  Equations -> SOLUTION: This one is totally escaping me, help on solving would be greatly appreciated. x/3 - 7/8 = 2/5(x + 15/4) Thank you.      Log On


   



Question 55485: This one is totally escaping me, help on solving would be greatly appreciated.
x/3 - 7/8 = 2/5(x + 15/4)
Thank you.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Boy, this is a doozy!!! No wonder this one is escaping you!!!!
x%2F3+-+7%2F8+=+2%2F5%28x+%2B+15%2F4%29
x%2F3-7%2F8=2x%2F5%2B30%2F20
x%2F3-7%2F8=2x%2F5%2B3%2F2
The LCD is 120, eliminate the fractions by multiplying everything by 120.
120%28x%2F3%29%2B120%28-7%2F8%29=120%282x%2F5%29%2B120%283%2F2%29 Divide 120, by denominators.
40%28x%29%2B15%28-7%29=24%282x%29%2B60%283%29
40x-105=48x%2B180
-48x%2B40x-105=-48x%2B48x%2B180
-8x-105=180
-8x-105%2B105=105%2B180
-8x=285
-8x%2F-8=285%2F-8
x=-285%2F8
Happy Calculating!!!