Final answer:
To create an equation with the variable x on both sides that needs two inverse operations to solve, use 2x + 3 = 7 + x. Subtract x from both sides and then subtract 3 to find x = 4.
Step-by-step explanation:
To create an equation with the variable x on both sides that requires the use of at least two inverse operations to solve, one might compose the following equation:
2x + 3 = 7 + x
This equation requires the inverse operations of subtraction and division to solve for x. Firstly, we can subtract x from both sides to get:
2x + 3 - x = 7 + x - x
x + 3 = 7
Secondly, we subtract 3 from both sides of the equation:
x + 3 - 3 = 7 - 3
x = 4
The solution to this equation is x = 4. When approaching a problem where only one unknown needs to be determined, listing known values and selecting the appropriate equation is very helpful. In cases where more than one unknown is involved, multiple equations may need to be solved simultaneously, necessitating a deeper understanding of the underlying physical principles or mathematical relationships.