First try multiplying both sides by 5. You get x-7-25/2 = x+9/2. Multiply both sides by 2 and you get 2x-14-25= x+9. Subtract x from both sides you get x-39=9. Add 39 to both sides you get x=48.
(x – 7)/5 – 5/2 = (x + 9)/10
multiply both sides by 10 to clear the denominators
2(x-7) - 10 = x + 9
do the indicated multiplication
2x - 14 - 10 = x + 9
subtract x from both sides and do indicated arithmetic
x - 24 = 9
add 24 to both sides
x = 33