SOLUTION: can someone explain to me how to solve this please? x/3-1/4=3x-8/12

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can someone explain to me how to solve this please? x/3-1/4=3x-8/12      Log On


   



Question 77295: can someone explain to me how to solve this please?
x/3-1/4=3x-8/12

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F3-1%2F4=3x-8%2F12
x%2F3=3x-8%2F12%2B1%2F4 Add 1/4 to both sides
x%2F3-3x=-8%2F12%2B1%2F4 Subtract 3x from both sides
x%2F3-%283%2F3%293x=-8%2F12%2B%283%2F3%29%281%2F4%29 Multiply the last terms on both sides by (3/3)
x%2F3-%289%2F3%29x=-8%2F12%2B3%2F12
%28x-9x%29%2F3=%28-8%2B3%29%2F12 Combine the fractions
%28-8x%29%2F3=%28-5%29%2F12
%28-8x%29=%283%29%28%28-5%29%2F12%29 Multiply both sides by 3
x=%28-15%2F12%29%2F%28-8%29 Divide both sides by -8
x=%28-15%2F12%29%2A%28-1%2F8%29 Multiply the reciprocal
x=15%2F96 So this is the answer