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Solve this rational equation.

\({x-2\over 3}+{x+5\over 2}={1\over 3}\)

AdamTaurus  Sep 13, 2017
 #1
avatar+87301 
+1

 

(x - 2) / 3  +  (x + 5) / 2   =  1/3          multiply through by the common denominator of 2, 3  = 6

 

2 (x -2)  + 3( x + 5)  =  2          simplify

 

2x  - 4  + 3x + 15  = 2             combine like terms

 

5x + 11  = 2                          subtract 11 from  both sides

 

5x  =  - 9                            divide both sides by 5

 

x = -9 / 5

 

 

cool cool cool

CPhill  Sep 13, 2017

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