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(X - 5) over 2 - (X - 3) over 4 = (X - 7) over 10 Not sure how to do this, if someone could show me the process, that would be very helpful.

 Sep 30, 2014

Best Answer 

 #1
avatar+129611 
+5

(x - 5)/2  - (x-3)/4 = (x-7)/10         multiply through by the least common multiple of 2.4 and 10 , i.e.,  20....this will clear the denominators

So we have

10(x - 5) - 5(x-3) = 2(x - 7)      simplify

10x - 50 - 5x + 15  = 2x - 14    combine like terms

5x -35 = 2x -14      add 35 to both sides and subtract 2x from both sides

3x = 21   divide by 3

x = 7

You should verify that this is true by putting the answer back into the original problem !!!!

 

 Sep 30, 2014
 #1
avatar+129611 
+5
Best Answer

(x - 5)/2  - (x-3)/4 = (x-7)/10         multiply through by the least common multiple of 2.4 and 10 , i.e.,  20....this will clear the denominators

So we have

10(x - 5) - 5(x-3) = 2(x - 7)      simplify

10x - 50 - 5x + 15  = 2x - 14    combine like terms

5x -35 = 2x -14      add 35 to both sides and subtract 2x from both sides

3x = 21   divide by 3

x = 7

You should verify that this is true by putting the answer back into the original problem !!!!

 

CPhill Sep 30, 2014

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