Answer:
[tex]\frac{17x-2}{5x-2}[/tex]
Step-by-step explanation:
10x/5x-2 + 7x-2/5x-2
[tex]\frac{10x}{5x-2} + \frac{7x-2}{5x-2}[/tex]
Here both fractions have same denominator 5x-2
When the denominators are same then we can combine the numerators
we put denominator only once
[tex]\frac{10x+7x-2}{5x-2}[/tex]
Now we simplify it
Combine like terms: 10x+7x becomes 17x
[tex]\frac{17x-2}{5x-2}[/tex]
There is no common factor for the top and bottom
So we cannot simplify further