SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Simplify your answers completely. If there is no solution, enter NO SOLUTION.) (3x-1)/6 - (x+3)/2 = (3x+7)/3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Simplify your answers completely. If there is no solution, enter NO SOLUTION.) (3x-1)/6 - (x+3)/2 = (3x+7)/3      Log On


   



Question 1130238: Solve the equation. (Enter your answers as a comma-separated list. Simplify your answers completely. If there is no solution, enter NO SOLUTION.)
(3x-1)/6 - (x+3)/2 = (3x+7)/3

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If you multiply left and right sides by the common denominator of 6, the fractions' denominators can be cleared, and you can continue to simplify and solve.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-1%29%2F6+-+%28x%2B3%29%2F2+=+%283x%2B7%29%2F3
%283x-1%29%2F6+-+3%28x%2B3%29%2F%282%2A3%29+=+2%283x%2B7%29%2F%283%2A2%29
%283x-1%29%2F6+-+%283x%2B9%29%2F6+=+%286x%2B14%29%2F6...............both sides multiply by 6 to get a rid of fraction
3x-1+-+%283x%2B9%29+=+6x%2B14
3x-1+-+3x-9+=+6x%2B14
cross%283x%29-1+-+cross%283x%29-9+=+6x%2B14
-1+-9+=+6x%2B14
-10+=+6x%2B14
-10+-14=+6x
-24=+6x
x=-24%2F6

highlight%28x=-4%29