Subtracting linear expressions?

Question

(4x-8) - (-3x + 10 )
(9x - 11) - ( x -5)
(3x + 4) - (x + 1 ) 
(2x + 4 ) - (x + 2)
( 6x + 3) - (4x - 4 ) 
( x + 4) - (-2x +6 )

Answer 1

(4x - 8) - (-3x + 10)

Recall : Distributive property a(b+c) = ab +ac

4x -8 +3x - 10

4x + 3x -8 -10

7x - 18.

Answer 2

(9x - 11) - (x - 5) Recall : Distributive property a(b - c) = ab - ac =9x - 11 - x -1(-5) =9x - 11 - x + 5 =9x - x -11 + 5 =8x - 6.

Answer 3

(3x + 4) - (x + 1)

Recall : Distributive property a(b + c) = ab + ac

3x + 4 - x -1

3x - x + 4 - 1

2x +3.

Answer 4

(2x + 4) - (x + 2)

Recall : Distributive property a(b + c) = ab +ac

2x + 4 - x  - 2

2x -x + 4 - 2

x + 2.

Answer 5

(6x + 3) - (4x - 4)

Recall : Distributive property a(b - c) = ab - ac

6x + 3 - 4x + 4

6x - 4x  + 3 + 4

2x + 7.

Answer 6

(x + 4) - (-2x + 6)

Recall : Distributive property a(b + c) = ab +ac

x + 4 + 2x  - 6

x + 2x +4 - 6

3x - 2.