# How do you simplify (10x+3)/8-(3x+12)/8?

Jul 11, 2017

$= \frac{7 x - 9}{8}$

#### Explanation:

When adding or subtracting fractions, the denominators of all the fractions need to be the same.
In this case, they are already both $8$, so we can combine the two fractions into one:

$\frac{10 x + 3}{8} - \frac{3 x + 12}{8}$

$= \frac{10 + 3 - \left(3 x + 12\right)}{8} \text{ } \leftarrow$ be careful with the minus sign

$= \frac{10 x + 3 - 3 x - 12}{8} \text{ } \leftarrow$collect like terms

$= \frac{7 x - 9}{8}$