SOLUTION: Solve the following equation for X. These are fractions I just do not know how to type this. X-3 over 4 - X-1 over 9 = X-5 over 6.( X = ?). Thank you. Dave X-3 - X-1 = X-5 ___

Algebra ->  Equations -> SOLUTION: Solve the following equation for X. These are fractions I just do not know how to type this. X-3 over 4 - X-1 over 9 = X-5 over 6.( X = ?). Thank you. Dave X-3 - X-1 = X-5 ___       Log On


   

Question 93848: Solve the following equation for X. These are fractions I just do not know how to type this. X-3 over 4 - X-1 over 9 = X-5 over 6.( X = ?). Thank you. Dave
X-3 - X-1 = X-5
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4 9 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-3%29%2F4+-+%28x-1%29%2F9+=+%28x-5%29%2F6


36%28%28x-3%29%2F4+-+%28x-1%29%2F9%29+=+36%28%28x-5%29%2F6%29 Multiply both sides by the LCM 36 to eliminate the fractions

9%28x-3%29+-+4%28x-1%29+=+6%28x-5%29 Distribute and multiply

9x-27+-+4x%2B4+=+6x-30 Distribute again



9x-27-4x%2B4-6x=-30 Subtract 6x from both sides


9x-4x%2B4-6x=-30%2B27Add 27 to both sides


9x-4x-6x=-30%2B27-4Subtract 4 from both sides


-x=-30%2B27-4 Combine like terms on the left side


-x=-7 Combine like terms on the right side


x=%28-7%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=7 Reduce

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Answer:
So our answer is x=7




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Check:

%287-3%29%2F4+-+%287-1%29%2F9+=+%287-5%29%2F6 Plug in x=7

4%2F4+-+6%2F9+=+2%2F6 Subtract

1+-+6%2F9+=+2%2F6 Reduce

9%2F9+-+6%2F9+=+2%2F6 Rewrite 1 as 9/9


3%2F9+=+2%2F6 Subtract the fractions

1%2F3+=+1%2F3 Reduce both sides. Since this equation is true, our answer is verified