If 5x + 7 = 22, what is the value of x?

To find the value of x in the equation 5x + 7 = 22, we begin by isolating the term with x. First, we can subtract 7 from both sides of the equation. This step allows us to eliminate the constant term on the left side:

5x + 7 - 7 = 22 - 7, which simplifies to 5x = 15.

Next, we need to solve for x by dividing both sides by 5. This will give us the value of x:

5x / 5 = 15 / 5, which simplifies to x = 3.

Thus, the value of x is 3, confirming that the correct answer is indeed the option that lists this value. This method of isolating the variable first through subtraction and then through division is a standard approach in solving linear equations.