Verified Answer :

6/x +7 -(3/x -2 )

= (9x+3)/x


I hope that's help !

Remove the parentheses: ( a) = a

\(\frac{6}{x+7} - \frac{3}{x-2}\)

Find the least common denominator:

\((x+7)(x-2)\)

Adjust fractions based on the LCD :

\(\frac{6(x-2)}{(x+7)(x-2)} - \frac{3(x+7)}{(x+7)(x-2)}\)

\(= \frac{6(x-2)-3(x+7)}{(x+7)(x-2)}\)

Expand :

 \(6(x-2)-3(x+7)\)

\(6 x - 12 - 3 x - 21\)

\(6x - 3 x - 12 - 21\)

\(3x - 33\)

\(\frac{3x-33}{(x+7)(x-2)}\)

hope this helps!