(1/x+2)+(1/x+3)=2/x+9
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Answer:
x = -33/13 or -2.54
Step-by-step explanation:
(1/x+2) + (1/x+3) = 2/x+9
=> x+3+x+2/(x+2)(x+3) = 2/x+9
=> 2x+5/x^2+3x+2x+6 = 2/x+9
=> (x+9)(2x+5) = 2(x^2+5x+6)
=> 2x^2+5x+18x+45 = 2x^2+10x+12
=> 2x^2-2x^2+23x-10x = 12-45
=> 13x = -33
=> x = -33/13 or -2.54
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