Determine the value of x in the equation 7x + 2 = 23.

• A. x = 2
• B. x = 3
• C. x = 4
• D. x = 5

Answer: (B)

To find the value of ( x ) in the equation ( 7x + 2 = 23 ), the first step is to isolate the term that contains ( x ). This can be done by eliminating the constant term on the left side of the equation.

Subtracting 2 from both sides gives:

[

7x + 2 - 2 = 23 - 2

]

which simplifies to:

[

7x = 21

]

Next, to solve for ( x ), divide both sides of the equation by 7:

[

\frac{7x}{7} = \frac{21}{7}

]

This simplifies to:

[

x = 3

]

Thus, the solution demonstrates that the only value for ( x ) that satisfies the equation is 3. It correctly balances the original equation when substituted back in, confirming that ( 7(3) + 2 = 23 ) holds true.

Therefore, the correct answer is 3.