SOLUTION: How do I solve this equation for the value of x? 3/(x – 3) + 5/(x + 4) = (5x + 6)/(x2 + x - 12)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: How do I solve this equation for the value of x? 3/(x – 3) + 5/(x + 4) = (5x + 6)/(x2 + x - 12)      Log On


   

Question 308291: How do I solve this equation for the value of x?
3/(x – 3) + 5/(x + 4) = (5x + 6)/(x2 + x - 12)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3/(x – 3) + 5/(x + 4) = (5x + 6)/(x2 + x - 12)
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add the two fractions . LCM = (x-3)(x+4)
3(x+4)+5(x-3) / (x-3)(x+4)= (5x+6) / (x+4)(x-3)
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3x+12+5x-15 = 5x+6
8x-5x=6-12+15
3x=9
x=3