If 5(2x - 1) = 35, what is the value of x?

• A. 2
• B. 3
• C. 4
• D. 5

Answer: (C)

To solve the equation ( 5(2x - 1) = 35 ), begin by isolating the expression inside the parentheses. Start by dividing both sides of the equation by 5:

[

2x - 1 = \frac{35}{5}

]

This simplifies to:

[

2x - 1 = 7

]

Next, to isolate the term with ( x ), add 1 to both sides:

[

2x = 7 + 1

]

This further simplifies to:

[

2x = 8

]

Now, divide both sides by 2 to solve for ( x ):

[

x = \frac{8}{2}

]

This results in:

[

x = 4

]

The correct answer is therefore 4. This value satisfies the original equation, confirming that ( x = 4 ) holds true. In the context of the question, this methodical approach highlights the importance of step-by-step algebraic manipulation to arrive at a clear solution.