In order to solve this exercise, you need to remember the following:
- The word "less" indicates subtraction.
- The word "times" indicates multiplication.
- The word "more" indicates addition.
- In this case, the word "is" indicates that the sign is "=".
Let be "n" a number.
Knowing the above, you can determine that "Fourteen less than five times a number" can be expressed as:
![5n-14](https://img.qammunity.org/2023/formulas/mathematics/college/s2cefz678igc8gnoxyeu3gvvm0ue45mncj.png)
And you know that " Twelve more than three times a number" can be expressed as following:
![3n+12](https://img.qammunity.org/2023/formulas/mathematics/college/yid3rijpumh22zzq0xiul7yqhwmh2x9k6n.png)
Therefore, "Fourteen less than five times a number is twelve more than three times a number" can be written as the following equation:
![5n-14=3n+12](https://img.qammunity.org/2023/formulas/mathematics/college/aozubzy6zr09qltacsokanrk7z09fr4tsl.png)
Solve for "n" in order to find the number. Then, this is:
![\begin{gathered} 5n-3n=12+14 \\ 2n=26 \\ \\ n=(26)/(2) \\ \\ n=13 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5ls5dpyty8h1vrebvnwkkr3y4c6znbgpx3.png)
The number is:
![n=13](https://img.qammunity.org/2023/formulas/mathematics/college/rbtkacca1lrbi1k8gulmuh5pysq8uupx7v.png)