Solve the following: (x+2)/(x-3)+(6)/(x-3)=3 A. (17)/(2) B. (1)/(2) C. No real solution D. 8

To solve the equation, we can combine the fractions on the left side since they have the same denominator:<br /><br />$\frac{x+2+6}{x-3}=3$<br /><br />Simplifying the numerator:<br /><br />$\frac{x+8}{x-3}=3$<br /><br />Next, we can cross-multiply to eliminate the fraction:<br /><br />$x+8=3(x-3)$<br /><br />Expanding the right side:<br /><br />$x+8=3x-9$<br /><br />Now, we can move all terms involving $x$ to one side and constants to the other side:<br /><br />$x-3x=-9-8$<br /><br />Simplifying:<br /><br />$-2x=-17$<br /><br />Dividing both sides by -2:<br /><br />$x=\frac{17}{2}$<br /><br />Therefore, the correct answer is A. $\frac{17}{2}$.