Solve for x: 3x + 7 = 22.

To find the value of x in the equation 3x + 7 = 22, we start by isolating the term with x.

First, subtract 7 from both sides of the equation:

3x + 7 - 7 = 22 - 7, which simplifies to 3x = 15.

Next, to solve for x, divide both sides by 3:

3x / 3 = 15 / 3, resulting in x = 5.

Thus, the solution to the equation is x = 5, which corresponds to the correct answer. This process demonstrates the fundamental steps of solving a linear equation: isolating the variable by performing inverse operations in a systematic manner.