Question

((5x+2)/2)-((5x-2)/4)=3

Answer 1

Step-by-step explanation:

Given:

`(5x+2)/(2)-(5x-2)/(4)=3`

To solve for the value of x, we simplify it first. So,

We multiply both sides by 4.

`\begin{gathered} (5x+2)/(2)-(5x-2)/(4)=3 \\ 4((5x+2)/(2)-(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=(6)/(5) \end{gathered}`

Therefore, the answer is x=6/5.