Simplify 10b-7a+(-b)+10a-9b+5

$10 b - 7 a + (- b) + 10 a - 9 b + 5$

Remove parentheses.

$10 b - 7 a - b + 10 a - 9 b + 5$

Subtract $b$ from $10 b$ .

$- 7 a + 9 b + 10 a - 9 b + 5$

Combine the opposite terms in $- 7 a + 9 b + 10 a - 9 b + 5$ .

Subtract $9 b$ from $9 b$ .

$- 7 a + 10 a + 0 + 5$

Add $- 7 a + 10 a$ and $0$ .

$- 7 a + 10 a + 5$

Add $- 7 a$ and $10 a$ .

$3 a + 5$