SOLUTION: please help me solve this equation , 1/6(12t+48)-20=-1/8(24t-144) thanks for your time and help!!

Algebra ->  Equations -> SOLUTION: please help me solve this equation , 1/6(12t+48)-20=-1/8(24t-144) thanks for your time and help!!      Log On


   

Question 484334: please help me solve this equation ,
1/6(12t+48)-20=-1/8(24t-144)
thanks for your time and help!!
Answer by MathTherapy(10554) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve this equation ,
1/6(12t+48)-20=-1/8(24t-144)
thanks for your time and help!!

%281%2F6%29%2812t+%2B+48%29+-+20+=+%28-+1%2F8%29%2824t+-+144%29

%2812t+%2B+48%29%2F6+-+20+=+%28-1%29%2824t+-+144%29%2F8

%28%2812t+%2B+48%29%29%2F6+-+20+=+%28%28-24t+%2B+144%29%29%2F8

________Reduce fractions to make the solution simpler

2t + 8 - 20 = - 3t + 18

2t - 12 = - 3t + 18

5t = 30

t = 30%2F5 = highlight_green%286%29

--------
Check
--------
%281%2F6%29%2812t+%2B+48%29+-+20+=+%28-+1%2F8%29%2824t+-+144%29 ---- %281%2F6%29%2812%286%29+%2B+48%29+-+20+=+%28-+1%2F8%29%2824%286%29+-+144%29 ------ %281%2F6%29%2872+%2B+48%29+-+20+=+%28-+1%2F8%29%28144+-+144%29 --- %281%2F6%29%28120%29+-+20+=+%28-+1%2F8%29%280%29

20 - 20 = 0

20 = 20 (TRUE)

Send comments and “thank-yous” to MathMadEzy@aol.com