SOLUTION: Can someone help me on this problem? I need to solve for x and check my results: 6x-1/5 - 2x/3 = 3 Thanks, Sher

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Question 53632: Can someone help me on this problem?
I need to solve for x and check my results:
6x-1/5 - 2x/3 = 3
Thanks,
Sher

Answer by rchill(405)   (Show Source): You can put this solution on YOUR website!

Because you have two denominators here in fractions, you need to find the LCD. In this case, it's 15 (3*5=15). Now multiply both sides by 15: . Now expand the equation and we get . Combining like terms we get , and then adding 3 to both sides yields . Finally, divide both sides by 80 and we get , which reduces to .


To check our work, substitute the value of x in the original equation, thusly: . Expanding gives us , which reduces to , which reduces still to . Because 3=3 is a true statement, that means our answer of is correct!

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