SOLUTION: what is r in the following equation: 12(4r-5r/6) + 20 = 19r - 15 + 45r/2 and how do you solve this?

Algebra ->  Expressions-with-variables -> SOLUTION: what is r in the following equation: 12(4r-5r/6) + 20 = 19r - 15 + 45r/2 and how do you solve this?      Log On


   



Question 30318: what is r in the following equation:
12(4r-5r/6) + 20 = 19r - 15 + 45r/2 and how do you solve this?

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+12%284r-5r%2F6%29+%2B+20+=+19r+-+15+%2B+45r%2F2+ First distribute the 12
+48r-60r%2F6+%2B+20+=+19r+-+15+%2B+45r%2F2+ reduce the fraction on the left
+48r-10r+%2B+20+=+19r+-+15+%2B+45r%2F2+ combine like terms on the left
+38r+%2B+20+=+19r+-+15+%2B+45r%2F2+ change the 19r to a denominator of 2
+38r+%2B+20+=+38r%2F2+-+15+%2B+45r%2F2+ combine like terms on the right
+38r+%2B+20+=+83r%2F2+-+15+ Make ALL terms have a denom of 2
+76r%2F2+%2B+40%2F2+=+83r%2F2+-+30%2F2+ since this is an equation and all are like denoms. Drop them.
+76r+%2B+40+=+83r+-+30+ subtract 76r from both sides
+40+=+7r+-+30+ add 30 to each side
+70+=+7r+ divide by 7 on each side
+70%2F7+=+r+ reduce
+10+=+r+ Watch your multiplying. Doing this at 1 am you can make a silly little mistake like 12*4 = 36 and you will get a messed up answer :-P