Question 308291
3/(x – 3) + 5/(x + 4) = (5x + 6)/(x2 + x - 12)
.
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)
.
3x+12+5x-15 = 5x+6

8x-5x=6-12+15

3x=9
x=3