SOLUTION: Solve 2x/5-6x/5=3/5 Show all work

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Question 117101: Solve 2x/5-6x/5=3/5
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2F5-6x%2F5=3%2F5 Start with the given equation



%285%29%282x%2F5-6x%2F5%29=%285%29%283%2F5%29 Multiply both sides by the LCM of 5. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



2x-6x=3 Distribute and multiply the LCM to each side



-4x=3 Combine like terms on the left side


x=%283%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=-3%2F4 Reduce

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Answer:
So our answer is x=-3%2F4 (which is approximately x=-0.75 in decimal form)