SOLUTION: x-2 / 3 + 5x/2 = -3/5

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Question 119313: x-2 / 3 + 5x/2 = -3/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-2%2F3%2B5x%2F2=-3%2F5 Start with the given equation



%2830%29%28x-2%2F3%2B5x%2F2%29=%2830%29%28-3%2F5%29 Multiply both sides by the LCM of 30. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



30x-20%2B75x=-18 Distribute and multiply the LCM to each side



105x-20=-18 Combine like terms on the left side


105x=-18%2B20Add 20 to both sides


105x=2 Combine like terms on the right side


x=%282%29%2F%28105%29 Divide both sides by 105 to isolate x



x=2%2F105 Reduce

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Answer:
So our answer is x=2%2F105 (which is approximately x=0.019047619047619 in decimal form)