Get detailed and reliable answers to your questions with IDNLearn.com. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.
Sagot :
To solve the equation [tex]\(2(4x + 3) + 4 = 3x - (2x + 4)\)[/tex], Giovanni first applies the distributive property. Let’s do this step-by-step.
### Step 1: Apply the distributive property
Left Side: [tex]\(2(4x + 3) + 4\)[/tex]
- Multiply [tex]\(2\)[/tex] with both terms inside the parentheses.
[tex]\[2 \cdot 4x + 2 \cdot 3 = 8x + 6\][/tex]
- Now, add the [tex]\(+4\)[/tex] outside the parentheses to the result.
[tex]\[8x + 6 + 4\][/tex]
Right Side: [tex]\(3x - (2x + 4)\)[/tex]
- Distribute the negative sign to both terms inside the parentheses.
[tex]\[3x - 2x - 4\][/tex]
### Step 2: Write the combined equation
Now combine both simplified sides:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
So, the equation resulting from applying the distributive property to both sides is:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
Therefore, the correct equation as a result of applying the distributive property is:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
So, the correct answer is:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
### Step 1: Apply the distributive property
Left Side: [tex]\(2(4x + 3) + 4\)[/tex]
- Multiply [tex]\(2\)[/tex] with both terms inside the parentheses.
[tex]\[2 \cdot 4x + 2 \cdot 3 = 8x + 6\][/tex]
- Now, add the [tex]\(+4\)[/tex] outside the parentheses to the result.
[tex]\[8x + 6 + 4\][/tex]
Right Side: [tex]\(3x - (2x + 4)\)[/tex]
- Distribute the negative sign to both terms inside the parentheses.
[tex]\[3x - 2x - 4\][/tex]
### Step 2: Write the combined equation
Now combine both simplified sides:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
So, the equation resulting from applying the distributive property to both sides is:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
Therefore, the correct equation as a result of applying the distributive property is:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
So, the correct answer is:
[tex]\[8x + 6 + 4 = 3x - 2x - 4\][/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.