Simplify (9x+8)/(4x-14)+(3x+2)/(4x-14)

$\frac{9 x + 8}{4 x - 14} + \frac{3 x + 2}{4 x - 14}$

Combine the numerators over the common denominator.

$\frac{9 x + 8 + 3 x + 2}{4 x - 14}$

Add $9 x$ and $3 x$ .

$\frac{12 x + 8 + 2}{4 x - 14}$

Add $8$ and $2$ .

$\frac{12 x + 10}{4 x - 14}$

Cancel the common factor of $12 x + 10$ and $4 x - 14$ .

Factor $2$ out of $12 x$ .

$\frac{2 (6 x) + 10}{4 x - 14}$

Factor $2$ out of $10$ .

$\frac{2 (6 x) + 2 (5)}{4 x - 14}$

Factor $2$ out of $2 (6 x) + 2 (5)$ .

$\frac{2 (6 x + 5)}{4 x - 14}$

Cancel the common factors.

Factor $2$ out of $4 x$ .

$\frac{2 (6 x + 5)}{2 (2 x) - 14}$

Factor $2$ out of $- 14$ .

$\frac{2 (6 x + 5)}{2 (2 x) + 2 (- 7)}$

Factor $2$ out of $2 (2 x) + 2 (- 7)$ .

$\frac{2 (6 x + 5)}{2 (2 x - 7)}$

Cancel the common factor.

$\frac{2 (6 x + 5)}{2 (2 x - 7)}$

Rewrite the expression.

$\frac{6 x + 5}{2 x - 7}$