SOLUTION: How would you solve this equation? 6/5x-2/3x=-8/45

Algebra ->  Equations -> SOLUTION: How would you solve this equation? 6/5x-2/3x=-8/45      Log On


   

Question 125997: How would you solve this equation?
6/5x-2/3x=-8/45
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6%2F5x-2%2F3x=-8%2F45 Start with the given equation



%2845%29%28%286%2F5%29x-%282%2F3%29x%29=%2845%29%28-8%2F45%29 Multiply both sides by the LCM of 45. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



54x-30x=-8 Distribute and multiply the LCM to each side



24x=-8 Combine like terms on the left side


x=%28-8%29%2F%2824%29 Divide both sides by 24 to isolate x



x=-1%2F3 Reduce

--------------------------------------------------------------
Answer:
So our answer is x=-1%2F3 (which is approximately x=-0.333333333333333 in decimal form)