Factor -5x(a+c)+2y(a+c)

$- 5 x (a + c) + 2 y (a + c)$

Factor $- (a + c)$ out of $- 5 x (a + c)$ .

$- (a + c) (5 x) + 2 y (a + c)$

Factor $- (a + c)$ out of $2 y (a + c)$ .

$- (a + c) (5 x) - (a + c) (- 2 y)$

Factor $- (a + c)$ out of $- (a + c) (5 x) - (a + c) (- 2 y)$ .

$- (a + c) (5 x - 2 y)$