Find the value of the x
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2/(x+3) + 3/(x+2)= 5/x
=>[2(x+2) + 3(x+3)]/ (x+3)(x+2) = 5/x
=>(2x+4+3x +9) /x^2 +3x+2x+6 =5/x
=>(5x + 13)x = 5x^2 + 25 x +30
=>5x^2 + 13x = 5x^2 +25x +30
=>13x - 25x =30
=>-12x=30
=>x = - 5/2
=>[2(x+2) + 3(x+3)]/ (x+3)(x+2) = 5/x
=>(2x+4+3x +9) /x^2 +3x+2x+6 =5/x
=>(5x + 13)x = 5x^2 + 25 x +30
=>5x^2 + 13x = 5x^2 +25x +30
=>13x - 25x =30
=>-12x=30
=>x = - 5/2
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