Given the following equation:
![5x+(1)/(4)=(61)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/369xhdu56k1tsnh2z4aq8coop64dx9w28h.png)
You need to solve for the variable "x" in order to find its value. You can follow the steps shown below:
Step 1. You can apply the Subtraction property of equality by subtracting 1/4 from both sides of the equation:
![\begin{gathered} 5x+(1)/(4)-((1)/(4))=(61)/(4)-((1)/(4)) \\ \\ 5x=(61-1)/(4) \\ \\ 5x=(60)/(4) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rcrowufh95c97zwsici4ptpsjs6symgdml.png)
Step 2. Divide 60 by 4:
![5x=15](https://img.qammunity.org/2023/formulas/mathematics/high-school/8xvhv5nhquauuvcz4qxqqdoghewvgbmro8.png)
Step 3. You can apply the Division property of equality by dividing both sides of the equation by 5:
![\begin{gathered} (5x)/(5)=(15)/(5) \\ \\ x=3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ttgc4lsn85hzndjc3nvqyj0ps9bdbu0cfb.png)
The answer is:
![x=3](https://img.qammunity.org/2023/formulas/mathematics/high-school/tu78xmfzid4zbk5fl1tm8vw66ibi0yce1h.png)