Step 1
Multiply all terms in the equation by 2, the lowest common multiple of the denominator of all the terms
[tex]2(\frac{5}{2}x)\text{ + 2(5)= 2(}\frac{1}{2})+2(\frac{1}{2}x)[/tex][tex]5x+10=1+x[/tex]
Step 2
Simplify the equation gotten in step 1 by bringing like terms together
[tex]\begin{gathered} 5x-x=1-10 \\ \end{gathered}[/tex][tex]\begin{gathered} 4x=-9 \\ x=-\frac{9}{4} \\ x=\text{ -2.25} \end{gathered}[/tex]
Hence, the answer is option A.
