Given the following equation:
[tex]5x+\frac{1}{4}=\frac{61}{4}[/tex]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:
[tex]\begin{gathered} 5x+\frac{1}{4}-(\frac{1}{4})=\frac{61}{4}-(\frac{1}{4}) \\ \\ 5x=\frac{61-1}{4} \\ \\ 5x=\frac{60}{4} \end{gathered}[/tex]Step 2. Divide 60 by 4:
[tex]5x=15[/tex]Step 3. You can apply the Division property of equality by dividing both sides of the equation by 5:
[tex]\begin{gathered} \frac{5x}{5}=\frac{15}{5} \\ \\ x=3 \end{gathered}[/tex]The answer is:
[tex]x=3[/tex]
