Sure! Let's break down the given expression step by step to understand it:
The given expression is:
[tex]\[ +40x \quad (+) + (-) = 40x \][/tex]
Here's the detailed explanation:
1. Understanding the Components:
- `+40x`: This means 40 times [tex]\( x \)[/tex] with a positive sign. Essentially, it's just [tex]\( 40x \)[/tex].
- `(+)+(-)`: This part involves basic operations which we need to interpret correctly.
- `+` inside `(+)+(-)` represents a positive sign.
- `-` inside `(+)+(-)` represents a negative sign.
2. Interpreting the Middle Part `(+)+(-)`:
- Here, we are dealing with the addition of a positive term and a negative term.
- When we add a positive and a negative term of the same value, they cancel out each other. For example, if we think about adding [tex]\( x \)[/tex] and [tex]\(-x \)[/tex], they sum to 0.
3. Simplifying the Expression:
Let's simplify:
[tex]\[ +40x \quad (+)+(-) \][/tex]
- Interpreting this, we recognize that `(+x)` and `(-x)` will cancel each other out.
- So, initially, we have:
[tex]\[ +40x + x - x \][/tex]
- Since [tex]\( +x \)[/tex] and [tex]\(-x \)[/tex] cancel each other out:
[tex]\[ +40x + 0 = 40x \][/tex]
4. Result:
- After canceling, we are left with:
[tex]\[ +40x = 40x \][/tex]
So the original expression simplifies to:
[tex]\[ 40x \][/tex]
In summary, no matter the value of [tex]\( x \)[/tex], the expression correctly simplifies to [tex]\( 40x \)[/tex]. This is the detailed step-by-step solution to the problem.
