Short Answer 
To solve the equation 30.16 = 17.56 + 5x, first isolate x by subtracting 17.56 from both sides, resulting in 5x = 12.6. Then divide both sides by 5 to find x = 2.52.
Step 1: Set Up the Equation
Start by writing the initial equation given in the problem: 30.16 = 17.56 + 5x. This sets the stage for isolating x on one side of the equation, making it easier to solve. Clearly identifying all elements in the equation will help prevent errors during calculations.
Step 2: Isolate the Term Involving x
Next, you’ll need to move 17.56 to the other side of the equation. You can do this by subtracting 17.56 from both sides, leading to the equation: 5x = 30.16 – 17.56. This subtraction yields 12.6, thereby simplifying the equation to 5x = 12.6.
Step 3: Solve for x
Finally, to find the value of x, divide both sides of the equation by 5. This gives you x = 12.6 / 5, which simplifies to x = 2.52. By completing this final calculation, you arrive at the solution to the problem.