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

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

Combine the numerators over the common denominator.

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 2$ by $- 1$ .

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

Multiply $- 1$ by $- 3$ .

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

Simplify terms.

Add $- 3 x$ and $2 x$ .

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

Add $7$ and $3$ .

$\frac{- x + 10}{2}$

Factor $- 1$ out of $- x$ .

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

Rewrite $10$ as $- 1 (- 10)$ .

$\frac{- (x) - 1 (- 10)}{2}$

Factor $- 1$ out of $- (x) - 1 (- 10)$ .

$\frac{- (x - 10)}{2}$

Simplify the expression.

Rewrite $- (x - 10)$ as $- 1 (x - 10)$ .

$\frac{- 1 (x - 10)}{2}$

Move the negative in front of the fraction.

$- \frac{x - 10}{2}$