Question

Jayden used the following steps to simplify the given expression.


Negative 3 + 2 (2 x + x + 3)


Step 1: Negative 3 + 2 (2 x + 2 + 3)
Step 2: Negative 3 + 2 (x + 5)
Step 3: Negative 3 + 2 x + 10
Step 4: 2 x + (negative 3) + 10
Step 5: 2 x + 7

What property of real numbers was used to transition from step 2 to step 3?

Answer 1

distributive property of real numbers was used to transition from step 2 to step 3

What property of real numbers was used to transition from step 2 to step 3?

Generally, the equation for the expression  is  mathematically given as

3 + 2(2 + x + 3)

Therefore

Step 1: = -3 + 2(x + 2 + 3)

Step 2: = -3 + 2(x + 5)

Step 3: = -3 + 2x + 10

Step 4: = 2x + (-3) + 10

Step 5: = 2x + 7

Notice: The distributive property is put into practice. i.e. c(a+b)=ca+cb

2(x+5) when we apply distributive property it became

2x+10

In conclusion,  The property shown is the distributive property

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