You can 
put this solution on YOUR website! .
I don't know how to read it.
Is the left side    a + (1/2)    or    (a+1)/2 ?
Is the right side    2a - (1/5)    or    (2a-1)/5 ?
Use parentheses systematically and properly to avoid ambiguity.
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Comment from student : (a+1)/2 = (2a-1)/5.
My response.  Ok, very good.
Multiply both sides by 10 to run off the denominators.  You will get
    5(a+1) = 2*(2a-1).
Simplify step by step and find "a"
    5a + 5 = 4a - 2.
    5a - 4a = -2 - 5
       a    = -7.
ANSWER.  a = -7.
CHECK.  At a= -7, the left side of the original equation is  (a+1)/2 = (-7+1)/2 = -6/2 = -3.
                  the right side of the original equation is  (2a-1)/5 = (2*(-7)-1)/5 = -15/5 = -3.
                  It confirms that the answer is correct.
Solved.