Isolate the x. Subtract 5/8 from both sides
x + 5/8 (-5/8) = 6 (-5/8)
x = 5 8/8 - 5/8
Simplify
x = 5 3/8 is your answer
hope this helps
[tex]x + \frac{5}{8} =6\\ \\ x + \frac{5}{8} = \frac{48}{8}\\ \\ x = \frac{48}{8}-\frac{5}{8}\\ \\ x = \frac{43}{8}[/tex]
This can't be simplified any further, therefore this is your final answer.