What is the first step in solving the equation: 5x + 2 = 12?

To solve the equation 5x + 2 = 12, the goal is to isolate the variable x. The first step involves eliminating the constant term on the left side of the equation to simplify the expression. Here, that constant term is 2.

By subtracting 2 from both sides, you effectively remove that constant from the left side of the equation, allowing for a clearer view of how x is related to the remaining numbers. This action transforms the equation into 5x = 10.

This step is a standard practice in solving linear equations, as it adheres to the principle of maintaining balance in the equation; what you do to one side must be done to the other. After this step, the next would typically involve isolating x further by dividing by 5, but the first and most critical action is to subtract 2 to set up the equation for simpler manipulation.