What value of x makes the equation \(5x + 1 = 16\) true?

To determine the value of x that satisfies the equation (5x + 1 = 16), start by isolating the variable x. Begin by subtracting 1 from both sides of the equation:

[

5x + 1 - 1 = 16 - 1

]

This simplifies to:

[

5x = 15

]

Next, divide both sides by 5 to solve for x:

[

x = \frac{15}{5}

]

This simplifies to:

[

x = 3

]

The calculation shows that the correct value of x is 3 because substituting 3 back into the original equation verifies the solution:

[

5(3) + 1 = 15 + 1 = 16

]

Thus, the equation holds true.

The incorrect choice, which was given as the answer, does not satisfy the equation when checked. Always ensure to verify your solution by substituting back into the original equation to confirm that both sides equate correctly.