Problem #7 subtract x + 4 from 7x + 1. problem #8 subtract 6x -8 from -4x + 5. problem #9 subtract -6n + 3 from 4n – 1. problem #10 subtract -8n - 3 from -4n – 2.

Problem 7:  6x - 3

Problem 8: -10x + 13

Problem 9:  10n - 4

Problem 10: 4n + 5

Step-by-step explanation:

Problem 7:

Step 1:  "Subtract x + 4 from 7x + 1" can be written as:

     7x + 1 - (x + 4)

Step 2:  Simplifying the expression gives us:

 7x + 1 - x - 4  (distribute the negative sign, 'distributive property')

Step 3:  Simply the new expression by combining like terms:

 7x - x + 1 - 4

     6x - 3

Problem 8:

Step 1:  "Subtract 6x - 8 from -4x + 5" can be written as:

     -4x + 5 - (6x - 8 )

Step 2:  Simplifying the expression gives us:

 -4x + 5 - 6x + 8  (distribute the negative sign, 'distributive property')

Step 3:  Simply the new expression by combining like terms:

 -4x - 6x + 5 + 8

     -10x + 13

Problem 9:

Step 1:  "Subtract -6n + 3 from 4n - 1" can be written as:

     4n + 1 - (-6n + 3)

Step 2:  Simplifying the expression gives us:

 4n - 1 + 6n - 3  (distribute the negative sign, 'distributive property')

Step 3:  Simply the new expression by combining like terms:

 4n + 6n - 1 - 3

     10n - 4

Problem 10:

Step 1:  "Subtract -8n - 3 from -4n - 2" can be written as:

     -4n - 2 - (-8n - 3)

Step 2:  Simplifying the expression gives us:

 -4n - 2 + 8n + 3  (distribute the negative sign, 'distributive property')

Step 3:  Simply the new expression by combining like terms:

 -4n + 8n - 2 +3

     4n + 1