Question

Use the properties of operations to simplify this algebraic expression. rewrite the expression by following the directions in each step.

5(x - 4) + 3x - 9x+7

Answer 1

Step 3:

5x + 20 + 3x + 9x + 7 becomes

5x + 3x + 9x + 20 + 7

Step 4:

(5x + 3x + 9x) + (20 + 7)

Step 5:

17x + 27

If you have any further questions feel free to ask.

Hope this helps

Answer 2

Answer and Explanation:

Given : Expression
`5(x-4)+3x-9x+7`

To find : Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in each step.

Solution :

Step 1 - Write subtraction as addition,

`=5(x+4)+3x+9x+7`

Step 2 - Use the distributive property,
`a(b+c)=ab+ac`

`=5x+20+3x+9x+7`

Step 3 - Use the commutative property of addition to reorder terms so that like terms are together,

`=5x+3x+9x+20+7`

Step 4 - Use the associative property of addition to group like terms,

`=(5x+3x+9x)+(20+7)`

Step 5 - Simplify

`=17x+27`