Simplify (2x-3)/(4x-7)+(2x-3)/(4x-7)

$\frac{2 x - 3}{4 x - 7} + \frac{2 x - 3}{4 x - 7}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 x - 3 + 2 x - 3}{4 x - 7}$

Step 2

Add $2 x$ and $2 x$ .

$\frac{4 x - 3 - 3}{4 x - 7}$

Step 3

Subtract $3$ from $- 3$ .

$\frac{4 x - 6}{4 x - 7}$

Step 4

Factor $2$ out of $4 x - 6$ .

Factor $2$ out of $4 x$ .

$\frac{2 (2 x) - 6}{4 x - 7}$

Factor $2$ out of $- 6$ .

$\frac{2 (2 x) + 2 (- 3)}{4 x - 7}$

Factor $2$ out of $2 (2 x) + 2 (- 3)$ .

$\frac{2 (2 x - 3)}{4 x - 7}$