Hello there! 
5/8 = x+7/ 2
We need to start by doing cross multiply 
(8)(2) = (x+7)*5
16 = 5x + 35 
5x = 35 - 16 
5x =-19
x = -19/5
The correct answer is -19/5 
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The mistake is easy to see. 
Instead of doing 35 - 16 { they did 35+16 which is wrong because you are transferring 16 to the opposite so you must change the positive sign as well.}
I hope that helps, please let me know if you have further questions about my answer.