SOLUTION: solve the following equation by clearing fractions. please show all work 2x +1/5= -x + 5/6

Algebra ->  Equations -> SOLUTION: solve the following equation by clearing fractions. please show all work 2x +1/5= -x + 5/6       Log On


   

Question 529314: solve the following equation by clearing fractions. please show all work
2x +1/5= -x + 5/6

Answer by boilpoil(127) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B1%2F5=-x%2B5%2F6
30%282x%29%2B30%281%2F5%29=30%28-x%29%2B30%285%2F6%29 ---Multiplying all terms by LCM of all denominators (30).
60x%2B6=-30x%2B25
90x=19 ---Moved terms -30x and +6.
x=19%2F90 --- Divide 19 by 90.