Answer:
Explanation:
Given:
[tex]\frac{5x+2}{2}-\frac{5x-2}{4}=3[/tex]To solve for the value of x, we simplify it first. So,
We multiply both sides by 4.
[tex]\begin{gathered} \frac{5x+2}{2}-\frac{5x-2}{4}=3 \\ 4(\frac{5x+2}{2}-\frac{5x-2}{4})=3(4) \\ \text{Simplify and rearrange} \\ 2(5x+2)-(5x-2)=12 \\ 10x+4-5x+2=12 \\ 5x+6=12 \\ 5x=12-6 \\ 5x=6 \\ x=\frac{6}{5} \end{gathered}[/tex]Therefore, the answer is x=6/5.