Use the scale to help you solve the equation.

[tex]$1 \mid 1 \mid 1 \mid 1$[/tex]
1
1 \mid 1 \mid 1 \mid 1 \mid 1 \mid 1 \mid 1

A. [tex]$x=12$[/tex]
B. [tex]$x=5$[/tex]
C. [tex]$x=12$[/tex]
D. [tex]$x=6$[/tex]



Answer :

To solve the equation using the scale, we need to ensure the scale is balanced. The balance can be visualized with the number of marks ('|') representing weights.

Let's break it down step-by-step:

1. First, examine each side of the scale represented by the vertical bars (|), as follows:

```
Left Side: 1|1|1
Right Side: 1||1|||1|1|1|1|1
```

2. Count the number of vertical bars on each side:
- The left side has 5 vertical bars.
- The right side might appear tricky at first because there are different groupings, but when closely examined, it also sums up to 5.

3. Since we have determined that each side of the equation already has an equal number of 5 vertical bars (|), the value of [tex]\( x \)[/tex] that balances the scale is indeed:

[tex]\[ x = 5 \][/tex]

Therefore, the correct answer is:
* B. [tex]\( x = 5 \)[/tex]