Certainly! Let's use a bar model to visually illustrate the equation [tex]\(20 - x = 6\)[/tex].
### Step 1: Draw the Total Length
First, draw a bar that represents the total amount, which in this case is [tex]\(20\)[/tex]. We'll label this bar as [tex]\(20\)[/tex].
```
-----------------------------------
| |
| 20 |
-----------------------------------
```
### Step 2: Indicate the Unknown Part
Next, since the equation [tex]\(20 - x = 6\)[/tex] tells us that removing [tex]\(x\)[/tex] from [tex]\(20\)[/tex] leaves us with [tex]\(6\)[/tex], we can partition the bar into two parts:
- One part represents [tex]\(x\)[/tex].
- The remaining part represents [tex]\(6\)[/tex].
```
-----------------------------------
| x | 6 |
-----------------------------------
| |
| 20 |
-----------------------------------
```
### Step 3: Solving the Equation
Now, we can solve the equation using the bar model. Note that the total length of the bar is still [tex]\(20\)[/tex].
```
-----------------------------------
| x | 6 |
-----------------------------------
| |
| 20 |
-----------------------------------
```
The equation [tex]\(20 - x = 6\)[/tex] essentially tells us that if we subtract the length represented by [tex]\(x\)[/tex] from the total length [tex]\(20\)[/tex], we are left with the length [tex]\(6\)[/tex].
### Step 4: Identify the Known Part
Since the portion [tex]\(6\)[/tex] is known, the length of the remaining part of the bar must make the total [tex]\(20\)[/tex]. Therefore, the unknown length [tex]\(x\)[/tex] can be found by subtracting the known part from the total length:
[tex]\[
x = 20 - 6
\][/tex]
### Step 5: Perform the Subtraction
Perform the arithmetic:
[tex]\[
x = 20 - 6 = 14
\][/tex]
So, the value of [tex]\(x\)[/tex] is [tex]\(14\)[/tex].
### Conclusion
Thus, by visually representing the equation [tex]\(20 - x = 6\)[/tex] with a bar model, we can easily see that the missing part must be [tex]\(14\)[/tex]. Therefore, [tex]\(x = 14\)[/tex].
