6. (4x-1) + (-5x+17)

7. (-x-3) - (5x-4)

8. (-9x+2) - (-8x-2)

Step-by-step explanation:

6. 4x-1-5x+17

=4x+-1+-5x+17

Combine Like Terms:

=4x+-1+-5x+17

= (4x+-5x) + (-1+17)

=-x+16

Answer:

=-x+16

7. (-x-3) - (5x-4)

Distribute the Negative Sign:

=-x-3+-1 (5x-4)

=-x+-3+-1 (5x) + (-1) (-4)

=-x+-3+-5x+4

Combine Like Terms:

=-x+-3+-5x+4

= (-x+-5x) + (-3+4)

=-6x+1

Answer:

=-6x+1

8. - 9x+2 - (-8x-2)

Distribute the Negative Sign:

=-9x+2+-1 (-8x-2)

=-9x+2+-1 (-8x) + (-1) (-2)

=-9x+2+8x+2

Combine Like Terms:

=-9x+2+8x+2

= (-9x+8x) + (2+2)

=-x+4

Answer:

=-x+4