Final answer:
The coefficients in the given equation (4x + 13 = 15x + 12) are 4 for the term 4x and 15 for the term 15x. Coefficients are integral in algebraic rearrangement to solve for the variable x.
Step-by-step explanation:
The equation given is (4x + 13 = 15x + 12). Here, the numbers multiplying the variable x are coefficients. For the term 4x, the coefficient is 4. Similarly, for the term 15x, the coefficient is 15. These coefficients are essential for solving the equation. To isolate the variable x, you would typically move the terms with x to one side of the equation and the constants to the other side. This can be achieved through algebraic rearrangement, such as subtracting 4x from both sides or subtracting 15x from both sides depending on the approach you wish to take.
For example, subtracting 4x from both sides would give: 13 = 11x + 12. Then, you would subtract 12 from both sides to get 1 = 11x. Finally, dividing both sides by 11, you get x = 1/11. This is a basic demonstration of solving for the variable using coefficients.