What is the value of x in the equation: 7(x + 4) = 49?

What is the value of x in the equation: 7(x + 4) = 49?

• A. 1
• B. 3
• C. 5
• D. 7

Answer: (B)

To find the value of \( x \) in the equation \( 7(x + 4) = 49 \), we start by dividing both sides of the equation by 7 to isolate the expression inside the parentheses. This simplifies the equation to: \[ x + 4 = \frac{49}{7} \] Calculating the right side gives us: \[ x + 4 = 7 \] Next, we need to isolate \( x \) by subtracting 4 from both sides: \[ x = 7 - 4 \] This results in: \[ x = 3 \] Thus, the correct value of \( x \) is indeed 3. Understanding each step demonstrates the process of solving a linear equation, showing how to isolate variables and perform arithmetic operations. This is foundational in algebra and essential for solving various equations in future mathematical contexts.

To find the value of ( x ) in the equation ( 7(x + 4) = 49 ), we start by dividing both sides of the equation by 7 to isolate the expression inside the parentheses. This simplifies the equation to:

[

x + 4 = \frac{49}{7}

]

Calculating the right side gives us:

[

x + 4 = 7

]

Next, we need to isolate ( x ) by subtracting 4 from both sides:

[

x = 7 - 4

]

This results in:

[

x = 3

]

Thus, the correct value of ( x ) is indeed 3. Understanding each step demonstrates the process of solving a linear equation, showing how to isolate variables and perform arithmetic operations. This is foundational in algebra and essential for solving various equations in future mathematical contexts.