Math / Algebra

Question23. $3(x+7)=$

Studdy Solution

STEP 1

What is this asking? We need to simplify the expression $3(x+7)$ using the distributive property. Watch out! Don't forget to multiply the 3 by both terms inside the parentheses!

STEP 2

1. Distribute the 3

STEP 3

We're starting with $3(x+7)$ .
Remember, this means we're multiplying 3 by the entire quantity $(x+7)$ .

STEP 4

The distributive property says that $a(b+c) = a \cdot b + a \cdot c$ .
So, we'll multiply the outside number, 3, by each term inside the parentheses.
Let's do it!

STEP 5

First, we multiply 3 by $x$ , which gives us $3 \cdot x = 3x$ .
Remember, $3x$ just means 3 times $x$ .

STEP 6

Next, we multiply 3 by the second term inside the parentheses, which is 7.
This gives us $3 \cdot 7 = 21$ .

STEP 7

Now, we add the results from the previous two sub-steps together.
We have $3x$ and 21, so we get $3x + 21$ .

STEP 8

$3(x+7) = 3x + 21$

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Question23. $3(x+7)=$

Studdy Solution

STEP 1

What is this asking? We need to simplify the expression $3(x+7)$ using the distributive property. Watch out! Don't forget to multiply the 3 by both terms inside the parentheses!

STEP 2

1. Distribute the 3

STEP 3

We're starting with $3(x+7)$ .
Remember, this means we're multiplying 3 by the entire quantity $(x+7)$ .

STEP 4

The distributive property says that $a(b+c) = a \cdot b + a \cdot c$ .
So, we'll multiply the outside number, 3, by each term inside the parentheses.
Let's do it!

STEP 5

First, we multiply 3 by $x$ , which gives us $3 \cdot x = 3x$ .
Remember, $3x$ just means 3 times $x$ .

STEP 6

Next, we multiply 3 by the second term inside the parentheses, which is 7.
This gives us $3 \cdot 7 = 21$ .

STEP 7

Now, we add the results from the previous two sub-steps together.
We have $3x$ and 21, so we get $3x + 21$ .

STEP 8

$3(x+7) = 3x + 21$

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Question23. 3(x+7)=3(x+7)=3(x+7)=

Studdy Solution

STEP 1

What is this asking? We need to simplify the expression 3(x+7)3(x+7)3(x+7) using the distributive property. Watch out! Don't forget to multiply the 3 by *both* terms inside the parentheses!

STEP 2

1. Distribute the 3

STEP 3

We're starting with 3(x+7)3(x+7)3(x+7).Remember, this means we're multiplying 3 by the *entire* quantity (x+7)(x+7)(x+7).

STEP 4

The **distributive property** says that a(b+c)=a⋅b+a⋅ca(b+c) = a \cdot b + a \cdot ca(b+c)=a⋅b+a⋅c.So, we'll multiply the **outside number**, 3, by *each* term inside the parentheses.Let's do it!

STEP 5

First, we multiply 3 by xxx, which gives us 3⋅x=3x3 \cdot x = 3x3⋅x=3x.Remember, 3x3x3x just means 3 times xxx.

STEP 6

Next, we multiply 3 by the **second term** inside the parentheses, which is 7.This gives us 3⋅7=213 \cdot 7 = 213⋅7=21.

STEP 7

Now, we add the results from the previous two sub-steps together.We have 3x3x3x and 21, so we get 3x+213x + 213x+21.

STEP 8

3(x+7)=3x+213(x+7) = 3x + 213(x+7)=3x+21

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Question23. $3(x+7)=$

What is this asking? We need to simplify the expression $3(x+7)$ using the distributive property. Watch out! Don't forget to multiply the 3 by both terms inside the parentheses!

We're starting with $3(x+7)$ .
Remember, this means we're multiplying 3 by the entire quantity $(x+7)$ .

The distributive property says that $a(b+c) = a \cdot b + a \cdot c$ .
So, we'll multiply the outside number, 3, by each term inside the parentheses.
Let's do it!

First, we multiply 3 by $x$ , which gives us $3 \cdot x = 3x$ .
Remember, $3x$ just means 3 times $x$ .

Next, we multiply 3 by the second term inside the parentheses, which is 7.
This gives us $3 \cdot 7 = 21$ .

Now, we add the results from the previous two sub-steps together.
We have $3x$ and 21, so we get $3x + 21$ .

$3(x+7) = 3x + 21$