I have been working this problem out and the answer in the book is stating no solution. I am getting x=-4.
2(x+3)-5=5x-3(1+x)
$\displaystyle \displaystyle 2(x+3) - 5 = 5x - 3(1 + x)$
$\displaystyle \displaystyle 2x + 6 - 5 = 5x - 3 - 3x$
$\displaystyle \displaystyle 2x + 1 = 2x - 3$.
They are correct, there is not a solution - the two lines are parallel and therefore never meet...