To create a real-world problem that models the equation \(-x + 40 = x\), we can use a scenario involving two people sharing something or comparing quantities. Here’s one way to frame it:
Problem:
Emma and Liam have a total of 40 apples. Emma wants to give some of her apples to Liam so that they will each have the same number of apples. Let \( x \) represent the number of apples Liam has after receiving apples from Emma.
Initially, we can express Emma's apples as \( 40 - x \) (the total number of apples minus the number Liam has after receiving apples from her).
The equation can then be set up as:
\[ -(40 - x) + 40 = x \]
Simplifying this leads to the desired equation \(-x + 40 = x\).
Can you find out how many apples Liam has after Emma gives him some?
In this scenario, the problem requires solving the equation to find the number of apples Liam has after receiving some from Emma.