Final answer:
After adding x to both sides of the equation 5 - 3x = 22 + 9.3, the next step in solving for x is to add -5 to both sides of the equation, which will help to isolate the variable x.
Step-by-step explanation:
In the process of solving the equation 5 - 3x = 22 + 9.3, after adding x to both sides of the equation, the next logical step is to isolate the variable x on one side of the equation. To do this, we should look at the constants and like terms and move them accordingly.
To move the constants, we would add or subtract them from both sides. Since we already have constants on both sides (5 on the left and 22 + 9.3 on the right), we decide which one to move. If we choose to move the constant on the left (the 5), we need to perform the inverse operation of addition, which is subtraction. Therefore, the next step is to add -5 to both sides of the equation.
After this, we will combine like terms and continue the steps to solve for x. The goal is to have all the terms with x on one side and the constants on the other side. Remember, whatever operation you perform, it should be done to both sides of the equation to maintain its balance.