If 2x + 3 = 11, what is the value of x?

If 2x + 3 = 11, what is the value of x?

• A. 2
• B. 3
• C. 4
• D. 5

Answer: (C)

To find the value of \( x \) in the equation \( 2x + 3 = 11 \), we start by isolating \( x \). First, we subtract \( 3 \) from both sides of the equation: \[ 2x + 3 - 3 = 11 - 3 \] This simplifies to: \[ 2x = 8 \] Next, we need to solve for \( x \) by dividing both sides by \( 2 \): \[ x = \frac{8}{2} \] This simplifies to: \[ x = 4 \] Thus, the correct answer is 4. This solution shows how to effectively manipulate the equation step by step to isolate the variable \( x \). The logical operations performed—subtracting and dividing—are fundamental algebraic techniques used to solve linear equations.

To find the value of ( x ) in the equation ( 2x + 3 = 11 ), we start by isolating ( x ).

First, we subtract ( 3 ) from both sides of the equation:

[

2x + 3 - 3 = 11 - 3

]

This simplifies to:

[

2x = 8

]

Next, we need to solve for ( x ) by dividing both sides by ( 2 ):

[

x = \frac{8}{2}

]

This simplifies to:

[

x = 4

]

Thus, the correct answer is 4. This solution shows how to effectively manipulate the equation step by step to isolate the variable ( x ). The logical operations performed—subtracting and dividing—are fundamental algebraic techniques used to solve linear equations.