log(x) = log(x+5) - log(2)
But the difference of two logs is the log of the quotient of their arguments.
log(x) = log [ (x+5) / (2) ]
Raise 10 to the power of each side: x = (x+ 5) / 2
Multiply each side by 2 : 2x = x + 5
Subtract 'x' from each side : x = 5